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Finding the Fourth Proportional to 656,314.75, 905,714.49 and 354,508.75

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Solution

The fourth proportional to 656,314.75, 905,714.49 and 354,508.75 is: 489,222.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,314.75 : 905,714.49 = 354,508.75 : x
  2. Step 2: Convert to fraction form
    656,314.75/905,714.49 = 354,508.75/x
  3. Step 3: Cross multiply
    656,314.75x = 905,714.49 × 354,508.75
  4. Step 4: Simplify right side
    656,314.75x = 321,083,711,706.79
  5. Step 5: Solve for x
    x = 321,083,711,706.79/656,314.75
  6. Step 6: Final answer
    x = 489,222.15

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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.