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Finding the Fourth Proportional to 653,871.76, 902,173.75 and 381,901.92

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Solution

The fourth proportional to 653,871.76, 902,173.75 and 381,901.92 is: 526,925.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,871.76 : 902,173.75 = 381,901.92 : x
  2. Step 2: Convert to fraction form
    653,871.76/902,173.75 = 381,901.92/x
  3. Step 3: Cross multiply
    653,871.76x = 902,173.75 × 381,901.92
  4. Step 4: Simplify right side
    653,871.76x = 344,541,887,298.60
  5. Step 5: Solve for x
    x = 344,541,887,298.60/653,871.76
  6. Step 6: Final answer
    x = 526,925.78

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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.