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Finding the Fourth Proportional to 361,424.66, 542,066.90 and 136,802.63

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Solution

The fourth proportional to 361,424.66, 542,066.90 and 136,802.63 is: 205,177.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,424.66 : 542,066.90 = 136,802.63 : x
  2. Step 2: Convert to fraction form
    361,424.66/542,066.90 = 136,802.63/x
  3. Step 3: Cross multiply
    361,424.66x = 542,066.90 × 136,802.63
  4. Step 4: Simplify right side
    361,424.66x = 74,156,178,227.10
  5. Step 5: Solve for x
    x = 74,156,178,227.10/361,424.66
  6. Step 6: Final answer
    x = 205,177.42

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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.