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Finding the Fourth Proportional to 403,680, 605,508.48 and 123,156.48

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Solution

The fourth proportional to 403,680, 605,508.48 and 123,156.48 is: 184,731.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,680 : 605,508.48 = 123,156.48 : x
  2. Step 2: Convert to fraction form
    403,680/605,508.48 = 123,156.48/x
  3. Step 3: Cross multiply
    403,680x = 605,508.48 × 123,156.48
  4. Step 4: Simplify right side
    403,680x = 74,572,293,006.95
  5. Step 5: Solve for x
    x = 74,572,293,006.95/403,680
  6. Step 6: Final answer
    x = 184,731.21

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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.