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Finding the Fourth Proportional to 516,282, 712,160.28 and 324,963.24

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Solution

The fourth proportional to 516,282, 712,160.28 and 324,963.24 is: 448,254.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,282 : 712,160.28 = 324,963.24 : x
  2. Step 2: Convert to fraction form
    516,282/712,160.28 = 324,963.24/x
  3. Step 3: Cross multiply
    516,282x = 712,160.28 × 324,963.24
  4. Step 4: Simplify right side
    516,282x = 231,425,911,988.11
  5. Step 5: Solve for x
    x = 231,425,911,988.11/516,282
  6. Step 6: Final answer
    x = 448,254.85

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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.