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Finding the Fourth Proportional to 405,691.38, 608,577.62 and 139,416.84

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Solution

The fourth proportional to 405,691.38, 608,577.62 and 139,416.84 is: 209,139.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,691.38 : 608,577.62 = 139,416.84 : x
  2. Step 2: Convert to fraction form
    405,691.38/608,577.62 = 139,416.84/x
  3. Step 3: Cross multiply
    405,691.38x = 608,577.62 × 139,416.84
  4. Step 4: Simplify right side
    405,691.38x = 84,845,968,675.12
  5. Step 5: Solve for x
    x = 84,845,968,675.12/405,691.38
  6. Step 6: Final answer
    x = 209,139.20

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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.