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Finding the Fourth Proportional to 516,649.32, 712,984.50 and 284,086.04

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Solution

The fourth proportional to 516,649.32, 712,984.50 and 284,086.04 is: 392,043.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,649.32 : 712,984.50 = 284,086.04 : x
  2. Step 2: Convert to fraction form
    516,649.32/712,984.50 = 284,086.04/x
  3. Step 3: Cross multiply
    516,649.32x = 712,984.50 × 284,086.04
  4. Step 4: Simplify right side
    516,649.32x = 202,548,943,186.38
  5. Step 5: Solve for x
    x = 202,548,943,186.38/516,649.32
  6. Step 6: Final answer
    x = 392,043.38

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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.