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Finding the Fourth Proportional to 408,743.10, 613,114.65 and 309,210.30

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Solution

The fourth proportional to 408,743.10, 613,114.65 and 309,210.30 is: 463,815.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,743.10 : 613,114.65 = 309,210.30 : x
  2. Step 2: Convert to fraction form
    408,743.10/613,114.65 = 309,210.30/x
  3. Step 3: Cross multiply
    408,743.10x = 613,114.65 × 309,210.30
  4. Step 4: Simplify right side
    408,743.10x = 189,581,364,860.90
  5. Step 5: Solve for x
    x = 189,581,364,860.90/408,743.10
  6. Step 6: Final answer
    x = 463,815.45

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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.