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Finding the Fourth Proportional to 517,947.12, 714,755.76 and 288,503.52

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Solution

The fourth proportional to 517,947.12, 714,755.76 and 288,503.52 is: 398,128.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,947.12 : 714,755.76 = 288,503.52 : x
  2. Step 2: Convert to fraction form
    517,947.12/714,755.76 = 288,503.52/x
  3. Step 3: Cross multiply
    517,947.12x = 714,755.76 × 288,503.52
  4. Step 4: Simplify right side
    517,947.12x = 206,209,552,700.28
  5. Step 5: Solve for x
    x = 206,209,552,700.28/517,947.12
  6. Step 6: Final answer
    x = 398,128.58

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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.