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Finding the Fourth Proportional to 656,323, 905,726.10 and 354,517

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Solution

The fourth proportional to 656,323, 905,726.10 and 354,517 is: 489,233.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,323 : 905,726.10 = 354,517 : x
  2. Step 2: Convert to fraction form
    656,323/905,726.10 = 354,517/x
  3. Step 3: Cross multiply
    656,323x = 905,726.10 × 354,517
  4. Step 4: Simplify right side
    656,323x = 321,095,299,793.70
  5. Step 5: Solve for x
    x = 321,095,299,793.70/656,323
  6. Step 6: Final answer
    x = 489,233.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.