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Finding the Fourth Proportional to 527,018.84, 727,279.97 and 285,296.11

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Solution

The fourth proportional to 527,018.84, 727,279.97 and 285,296.11 is: 393,705.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,018.84 : 727,279.97 = 285,296.11 : x
  2. Step 2: Convert to fraction form
    527,018.84/727,279.97 = 285,296.11/x
  3. Step 3: Cross multiply
    527,018.84x = 727,279.97 × 285,296.11
  4. Step 4: Simplify right side
    527,018.84x = 207,490,143,077.24
  5. Step 5: Solve for x
    x = 207,490,143,077.24/527,018.84
  6. Step 6: Final answer
    x = 393,705.36

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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.