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Finding the Fourth Proportional to 406,765.80, 610,440.30 and 229,084.20

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Solution

The fourth proportional to 406,765.80, 610,440.30 and 229,084.20 is: 343,790.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,765.80 : 610,440.30 = 229,084.20 : x
  2. Step 2: Convert to fraction form
    406,765.80/610,440.30 = 229,084.20/x
  3. Step 3: Cross multiply
    406,765.80x = 610,440.30 × 229,084.20
  4. Step 4: Simplify right side
    406,765.80x = 139,842,227,773.26
  5. Step 5: Solve for x
    x = 139,842,227,773.26/406,765.80
  6. Step 6: Final answer
    x = 343,790.52

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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.