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Finding the Fourth Proportional to 782,217, 1,079,459.46 and 424,521

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Solution

The fourth proportional to 782,217, 1,079,459.46 and 424,521 is: 585,838.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,217 : 1,079,459.46 = 424,521 : x
  2. Step 2: Convert to fraction form
    782,217/1,079,459.46 = 424,521/x
  3. Step 3: Cross multiply
    782,217x = 1,079,459.46 × 424,521
  4. Step 4: Simplify right side
    782,217x = 458,253,209,418.66
  5. Step 5: Solve for x
    x = 458,253,209,418.66/782,217
  6. Step 6: Final answer
    x = 585,838.98

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1.5x scale

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.