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Finding the Fourth Proportional to 497,336.86, 746,010.42 and 398,127.79

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Solution

The fourth proportional to 497,336.86, 746,010.42 and 398,127.79 is: 597,195.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,336.86 : 746,010.42 = 398,127.79 : x
  2. Step 2: Convert to fraction form
    497,336.86/746,010.42 = 398,127.79/x
  3. Step 3: Cross multiply
    497,336.86x = 746,010.42 × 398,127.79
  4. Step 4: Simplify right side
    497,336.86x = 297,007,479,831.57
  5. Step 5: Solve for x
    x = 297,007,479,831.57/497,336.86
  6. Step 6: Final answer
    x = 597,195.79

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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.