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Finding the Fourth Proportional to 406,869.40, 610,304.10 and 280,898.20

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Solution

The fourth proportional to 406,869.40, 610,304.10 and 280,898.20 is: 421,347.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,869.40 : 610,304.10 = 280,898.20 : x
  2. Step 2: Convert to fraction form
    406,869.40/610,304.10 = 280,898.20/x
  3. Step 3: Cross multiply
    406,869.40x = 610,304.10 × 280,898.20
  4. Step 4: Simplify right side
    406,869.40x = 171,433,323,142.62
  5. Step 5: Solve for x
    x = 171,433,323,142.62/406,869.40
  6. Step 6: Final answer
    x = 421,347.30

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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.