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Finding the Fourth Proportional to 456,123.90, 684,121.05 and 156,618.30

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Solution

The fourth proportional to 456,123.90, 684,121.05 and 156,618.30 is: 234,905.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,123.90 : 684,121.05 = 156,618.30 : x
  2. Step 2: Convert to fraction form
    456,123.90/684,121.05 = 156,618.30/x
  3. Step 3: Cross multiply
    456,123.90x = 684,121.05 × 156,618.30
  4. Step 4: Simplify right side
    456,123.90x = 107,145,875,845.22
  5. Step 5: Solve for x
    x = 107,145,875,845.22/456,123.90
  6. Step 6: Final answer
    x = 234,905.20

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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.