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Finding the Fourth Proportional to 656,442, 905,889.96 and 354,636

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Solution

The fourth proportional to 656,442, 905,889.96 and 354,636 is: 489,397.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,442 : 905,889.96 = 354,636 : x
  2. Step 2: Convert to fraction form
    656,442/905,889.96 = 354,636/x
  3. Step 3: Cross multiply
    656,442x = 905,889.96 × 354,636
  4. Step 4: Simplify right side
    656,442x = 321,261,191,854.56
  5. Step 5: Solve for x
    x = 321,261,191,854.56/656,442
  6. Step 6: Final answer
    x = 489,397.68

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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.