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Finding the Fourth Proportional to 398,497.72, 597,782.47 and 128,632.25

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Solution

The fourth proportional to 398,497.72, 597,782.47 and 128,632.25 is: 192,959.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,497.72 : 597,782.47 = 128,632.25 : x
  2. Step 2: Convert to fraction form
    398,497.72/597,782.47 = 128,632.25/x
  3. Step 3: Cross multiply
    398,497.72x = 597,782.47 × 128,632.25
  4. Step 4: Simplify right side
    398,497.72x = 76,894,105,299.53
  5. Step 5: Solve for x
    x = 76,894,105,299.53/398,497.72
  6. Step 6: Final answer
    x = 192,959.96

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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.