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Finding the Fourth Proportional to 406,705.20, 610,154.40 and 140,467.92

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Solution

The fourth proportional to 406,705.20, 610,154.40 and 140,467.92 is: 210,735.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,705.20 : 610,154.40 = 140,467.92 : x
  2. Step 2: Convert to fraction form
    406,705.20/610,154.40 = 140,467.92/x
  3. Step 3: Cross multiply
    406,705.20x = 610,154.40 × 140,467.92
  4. Step 4: Simplify right side
    406,705.20x = 85,707,119,446.85
  5. Step 5: Solve for x
    x = 85,707,119,446.85/406,705.20
  6. Step 6: Final answer
    x = 210,735.24

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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.