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Finding the Fourth Proportional to 408,752.78, 616,968.70 and 408,752.78

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Solution

The fourth proportional to 408,752.78, 616,968.70 and 408,752.78 is: 616,968.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,752.78 : 616,968.70 = 408,752.78 : x
  2. Step 2: Convert to fraction form
    408,752.78/616,968.70 = 408,752.78/x
  3. Step 3: Cross multiply
    408,752.78x = 616,968.70 × 408,752.78
  4. Step 4: Simplify right side
    408,752.78x = 252,187,670,661.71
  5. Step 5: Solve for x
    x = 252,187,670,661.71/408,752.78
  6. Step 6: Final answer
    x = 616,968.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.