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Finding the Fourth Proportional to 516,358.27, 712,457.95 and 312,404.12

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Solution

The fourth proportional to 516,358.27, 712,457.95 and 312,404.12 is: 431,047.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,358.27 : 712,457.95 = 312,404.12 : x
  2. Step 2: Convert to fraction form
    516,358.27/712,457.95 = 312,404.12/x
  3. Step 3: Cross multiply
    516,358.27x = 712,457.95 × 312,404.12
  4. Step 4: Simplify right side
    516,358.27x = 222,574,798,906.75
  5. Step 5: Solve for x
    x = 222,574,798,906.75/516,358.27
  6. Step 6: Final answer
    x = 431,047.22

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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.