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Finding the Fourth Proportional to 527,052.84, 727,332.02 and 285,335.32

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Solution

The fourth proportional to 527,052.84, 727,332.02 and 285,335.32 is: 393,762.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,052.84 : 727,332.02 = 285,335.32 : x
  2. Step 2: Convert to fraction form
    527,052.84/727,332.02 = 285,335.32/x
  3. Step 3: Cross multiply
    527,052.84x = 727,332.02 × 285,335.32
  4. Step 4: Simplify right side
    527,052.84x = 207,533,514,672.95
  5. Step 5: Solve for x
    x = 207,533,514,672.95/527,052.84
  6. Step 6: Final answer
    x = 393,762.25

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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.