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Finding the Fourth Proportional to 680,915.80, 1,021,373.70 and 415,195.30

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Solution

The fourth proportional to 680,915.80, 1,021,373.70 and 415,195.30 is: 622,792.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,915.80 : 1,021,373.70 = 415,195.30 : x
  2. Step 2: Convert to fraction form
    680,915.80/1,021,373.70 = 415,195.30/x
  3. Step 3: Cross multiply
    680,915.80x = 1,021,373.70 × 415,195.30
  4. Step 4: Simplify right side
    680,915.80x = 424,069,559,783.61
  5. Step 5: Solve for x
    x = 424,069,559,783.61/680,915.80
  6. Step 6: Final answer
    x = 622,792.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.