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Finding the Fourth Proportional to 406,423.08, 609,843.78 and 193,432.32

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Solution

The fourth proportional to 406,423.08, 609,843.78 and 193,432.32 is: 290,248.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,423.08 : 609,843.78 = 193,432.32 : x
  2. Step 2: Convert to fraction form
    406,423.08/609,843.78 = 193,432.32/x
  3. Step 3: Cross multiply
    406,423.08x = 609,843.78 × 193,432.32
  4. Step 4: Simplify right side
    406,423.08x = 117,963,497,202.97
  5. Step 5: Solve for x
    x = 117,963,497,202.97/406,423.08
  6. Step 6: Final answer
    x = 290,248.03

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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.