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Finding the Fourth Proportional to 406,266.17, 609,374.95 and 140,020.79

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Solution

The fourth proportional to 406,266.17, 609,374.95 and 140,020.79 is: 210,022.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,266.17 : 609,374.95 = 140,020.79 : x
  2. Step 2: Convert to fraction form
    406,266.17/609,374.95 = 140,020.79/x
  3. Step 3: Cross multiply
    406,266.17x = 609,374.95 × 140,020.79
  4. Step 4: Simplify right side
    406,266.17x = 85,325,158,508.28
  5. Step 5: Solve for x
    x = 85,325,158,508.28/406,266.17
  6. Step 6: Final answer
    x = 210,022.80

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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.