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Finding the Fourth Proportional to 527,510.43, 727,963.29 and 285,799.50

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Solution

The fourth proportional to 527,510.43, 727,963.29 and 285,799.50 is: 394,402.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,510.43 : 727,963.29 = 285,799.50 : x
  2. Step 2: Convert to fraction form
    527,510.43/727,963.29 = 285,799.50/x
  3. Step 3: Cross multiply
    527,510.43x = 727,963.29 × 285,799.50
  4. Step 4: Simplify right side
    527,510.43x = 208,051,544,300.36
  5. Step 5: Solve for x
    x = 208,051,544,300.36/527,510.43
  6. Step 6: Final answer
    x = 394,402.71

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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.