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Finding the Fourth Proportional to 497,667.40, 746,501.10 and 310,784.20

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Solution

The fourth proportional to 497,667.40, 746,501.10 and 310,784.20 is: 466,176.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,667.40 : 746,501.10 = 310,784.20 : x
  2. Step 2: Convert to fraction form
    497,667.40/746,501.10 = 310,784.20/x
  3. Step 3: Cross multiply
    497,667.40x = 746,501.10 × 310,784.20
  4. Step 4: Simplify right side
    497,667.40x = 232,000,747,162.62
  5. Step 5: Solve for x
    x = 232,000,747,162.62/497,667.40
  6. Step 6: Final answer
    x = 466,176.30

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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.