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Finding the Fourth Proportional to 402,086.28, 602,905.84 and 165,588.96

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Solution

The fourth proportional to 402,086.28, 602,905.84 and 165,588.96 is: 248,291.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,086.28 : 602,905.84 = 165,588.96 : x
  2. Step 2: Convert to fraction form
    402,086.28/602,905.84 = 165,588.96/x
  3. Step 3: Cross multiply
    402,086.28x = 602,905.84 × 165,588.96
  4. Step 4: Simplify right side
    402,086.28x = 99,834,551,023.53
  5. Step 5: Solve for x
    x = 99,834,551,023.53/402,086.28
  6. Step 6: Final answer
    x = 248,291.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.