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Finding the Fourth Proportional to 516,416.28, 712,638.96 and 286,972.80

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Solution

The fourth proportional to 516,416.28, 712,638.96 and 286,972.80 is: 396,013.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,416.28 : 712,638.96 = 286,972.80 : x
  2. Step 2: Convert to fraction form
    516,416.28/712,638.96 = 286,972.80/x
  3. Step 3: Cross multiply
    516,416.28x = 712,638.96 × 286,972.80
  4. Step 4: Simplify right side
    516,416.28x = 204,507,997,740.29
  5. Step 5: Solve for x
    x = 204,507,997,740.29/516,416.28
  6. Step 6: Final answer
    x = 396,013.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.