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Finding the Fourth Proportional to 403,114.95, 604,635.98 and 136,884.15

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Solution

The fourth proportional to 403,114.95, 604,635.98 and 136,884.15 is: 205,313.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,114.95 : 604,635.98 = 136,884.15 : x
  2. Step 2: Convert to fraction form
    403,114.95/604,635.98 = 136,884.15/x
  3. Step 3: Cross multiply
    403,114.95x = 604,635.98 × 136,884.15
  4. Step 4: Simplify right side
    403,114.95x = 82,765,081,497.30
  5. Step 5: Solve for x
    x = 82,765,081,497.30/403,114.95
  6. Step 6: Final answer
    x = 205,313.85

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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.