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Finding the Fourth Proportional to 403,425.65, 604,963.50 and 137,114.66

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Solution

The fourth proportional to 403,425.65, 604,963.50 and 137,114.66 is: 205,612.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,425.65 : 604,963.50 = 137,114.66 : x
  2. Step 2: Convert to fraction form
    403,425.65/604,963.50 = 137,114.66/x
  3. Step 3: Cross multiply
    403,425.65x = 604,963.50 × 137,114.66
  4. Step 4: Simplify right side
    403,425.65x = 82,949,361,590.09
  5. Step 5: Solve for x
    x = 82,949,361,590.09/403,425.65
  6. Step 6: Final answer
    x = 205,612.52

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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.