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Finding the Fourth Proportional to 406,098.56, 608,672.17 and 139,623.55

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Solution

The fourth proportional to 406,098.56, 608,672.17 and 139,623.55 is: 209,271.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,098.56 : 608,672.17 = 139,623.55 : x
  2. Step 2: Convert to fraction form
    406,098.56/608,672.17 = 139,623.55/x
  3. Step 3: Cross multiply
    406,098.56x = 608,672.17 × 139,623.55
  4. Step 4: Simplify right side
    406,098.56x = 84,984,967,814.45
  5. Step 5: Solve for x
    x = 84,984,967,814.45/406,098.56
  6. Step 6: Final answer
    x = 209,271.78

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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.