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Finding the Fourth Proportional to 406,257.95, 609,013.73 and 139,955.15

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Solution

The fourth proportional to 406,257.95, 609,013.73 and 139,955.15 is: 209,804.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,257.95 : 609,013.73 = 139,955.15 : x
  2. Step 2: Convert to fraction form
    406,257.95/609,013.73 = 139,955.15/x
  3. Step 3: Cross multiply
    406,257.95x = 609,013.73 × 139,955.15
  4. Step 4: Simplify right side
    406,257.95x = 85,234,607,234.43
  5. Step 5: Solve for x
    x = 85,234,607,234.43/406,257.95
  6. Step 6: Final answer
    x = 209,804.16

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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.