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Finding the Fourth Proportional to 398,864.93, 598,141.18 and 139,136.90

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Solution

The fourth proportional to 398,864.93, 598,141.18 and 139,136.90 is: 208,650.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,864.93 : 598,141.18 = 139,136.90 : x
  2. Step 2: Convert to fraction form
    398,864.93/598,141.18 = 139,136.90/x
  3. Step 3: Cross multiply
    398,864.93x = 598,141.18 × 139,136.90
  4. Step 4: Simplify right side
    398,864.93x = 83,223,508,851.86
  5. Step 5: Solve for x
    x = 83,223,508,851.86/398,864.93
  6. Step 6: Final answer
    x = 208,650.86

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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.