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Finding the Fourth Proportional to 402,812.52, 604,268.01 and 136,649.18

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Solution

The fourth proportional to 402,812.52, 604,268.01 and 136,649.18 is: 204,990.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,812.52 : 604,268.01 = 136,649.18 : x
  2. Step 2: Convert to fraction form
    402,812.52/604,268.01 = 136,649.18/x
  3. Step 3: Cross multiply
    402,812.52x = 604,268.01 × 136,649.18
  4. Step 4: Simplify right side
    402,812.52x = 82,572,728,066.73
  5. Step 5: Solve for x
    x = 82,572,728,066.73/402,812.52
  6. Step 6: Final answer
    x = 204,990.47

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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.