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Finding the Fourth Proportional to 406,432.20, 609,648.30 and 264,714.60

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Solution

The fourth proportional to 406,432.20, 609,648.30 and 264,714.60 is: 397,071.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,432.20 : 609,648.30 = 264,714.60 : x
  2. Step 2: Convert to fraction form
    406,432.20/609,648.30 = 264,714.60/x
  3. Step 3: Cross multiply
    406,432.20x = 609,648.30 × 264,714.60
  4. Step 4: Simplify right side
    406,432.20x = 161,382,805,875.18
  5. Step 5: Solve for x
    x = 161,382,805,875.18/406,432.20
  6. Step 6: Final answer
    x = 397,071.90

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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.