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Finding the Fourth Proportional to 408,924.86, 613,484.28 and 128,442.11

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Solution

The fourth proportional to 408,924.86, 613,484.28 and 128,442.11 is: 192,693.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,924.86 : 613,484.28 = 128,442.11 : x
  2. Step 2: Convert to fraction form
    408,924.86/613,484.28 = 128,442.11/x
  3. Step 3: Cross multiply
    408,924.86x = 613,484.28 × 128,442.11
  4. Step 4: Simplify right side
    408,924.86x = 78,797,212,307.61
  5. Step 5: Solve for x
    x = 78,797,212,307.61/408,924.86
  6. Step 6: Final answer
    x = 192,693.62

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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.