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Finding the Fourth Proportional to 403,612.10, 604,986.15 and 137,125.70

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Solution

The fourth proportional to 403,612.10, 604,986.15 and 137,125.70 is: 205,541.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,612.10 : 604,986.15 = 137,125.70 : x
  2. Step 2: Convert to fraction form
    403,612.10/604,986.15 = 137,125.70/x
  3. Step 3: Cross multiply
    403,612.10x = 604,986.15 × 137,125.70
  4. Step 4: Simplify right side
    403,612.10x = 82,959,149,309.06
  5. Step 5: Solve for x
    x = 82,959,149,309.06/403,612.10
  6. Step 6: Final answer
    x = 205,541.78

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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.