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Finding the Fourth Proportional to 431,097.40, 646,646.10 and 399,993.40

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Solution

The fourth proportional to 431,097.40, 646,646.10 and 399,993.40 is: 599,990.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,097.40 : 646,646.10 = 399,993.40 : x
  2. Step 2: Convert to fraction form
    431,097.40/646,646.10 = 399,993.40/x
  3. Step 3: Cross multiply
    431,097.40x = 646,646.10 × 399,993.40
  4. Step 4: Simplify right side
    431,097.40x = 258,654,172,135.74
  5. Step 5: Solve for x
    x = 258,654,172,135.74/431,097.40
  6. Step 6: Final answer
    x = 599,990.10

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.