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Finding the Fourth Proportional to 527,138.65, 727,448.28 and 285,416.23

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Solution

The fourth proportional to 527,138.65, 727,448.28 and 285,416.23 is: 393,872.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,138.65 : 727,448.28 = 285,416.23 : x
  2. Step 2: Convert to fraction form
    527,138.65/727,448.28 = 285,416.23/x
  3. Step 3: Cross multiply
    527,138.65x = 727,448.28 × 285,416.23
  4. Step 4: Simplify right side
    527,138.65x = 207,625,545,597.58
  5. Step 5: Solve for x
    x = 207,625,545,597.58/527,138.65
  6. Step 6: Final answer
    x = 393,872.74

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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.