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Finding the Fourth Proportional to 656,460.75, 905,915.85 and 354,654.75

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Solution

The fourth proportional to 656,460.75, 905,915.85 and 354,654.75 is: 489,423.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,460.75 : 905,915.85 = 354,654.75 : x
  2. Step 2: Convert to fraction form
    656,460.75/905,915.85 = 354,654.75/x
  3. Step 3: Cross multiply
    656,460.75x = 905,915.85 × 354,654.75
  4. Step 4: Simplify right side
    656,460.75x = 321,287,359,302.79
  5. Step 5: Solve for x
    x = 321,287,359,302.79/656,460.75
  6. Step 6: Final answer
    x = 489,423.56

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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.