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Finding the Fourth Proportional to 527,018.29, 727,285.08 and 285,300.68

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Solution

The fourth proportional to 527,018.29, 727,285.08 and 285,300.68 is: 393,714.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,018.29 : 727,285.08 = 285,300.68 : x
  2. Step 2: Convert to fraction form
    527,018.29/727,285.08 = 285,300.68/x
  3. Step 3: Cross multiply
    527,018.29x = 727,285.08 × 285,300.68
  4. Step 4: Simplify right side
    527,018.29x = 207,494,929,696.07
  5. Step 5: Solve for x
    x = 207,494,929,696.07/527,018.29
  6. Step 6: Final answer
    x = 393,714.86

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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.