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Finding the Fourth Proportional to 456,134.91, 684,137.20 and 156,609.87

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Solution

The fourth proportional to 456,134.91, 684,137.20 and 156,609.87 is: 234,892.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,134.91 : 684,137.20 = 156,609.87 : x
  2. Step 2: Convert to fraction form
    456,134.91/684,137.20 = 156,609.87/x
  3. Step 3: Cross multiply
    456,134.91x = 684,137.20 × 156,609.87
  4. Step 4: Simplify right side
    456,134.91x = 107,142,637,954.16
  5. Step 5: Solve for x
    x = 107,142,637,954.16/456,134.91
  6. Step 6: Final answer
    x = 234,892.43

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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.