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Finding the Fourth Proportional to 406,876.05, 610,314.06 and 136,981.62

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Solution

The fourth proportional to 406,876.05, 610,314.06 and 136,981.62 is: 205,472.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,876.05 : 610,314.06 = 136,981.62 : x
  2. Step 2: Convert to fraction form
    406,876.05/610,314.06 = 136,981.62/x
  3. Step 3: Cross multiply
    406,876.05x = 610,314.06 × 136,981.62
  4. Step 4: Simplify right side
    406,876.05x = 83,601,808,647.58
  5. Step 5: Solve for x
    x = 83,601,808,647.58/406,876.05
  6. Step 6: Final answer
    x = 205,472.42

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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.