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Finding the Fourth Proportional to 782,000, 1,079,165.76 and 424,304

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Solution

The fourth proportional to 782,000, 1,079,165.76 and 424,304 is: 585,542.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,000 : 1,079,165.76 = 424,304 : x
  2. Step 2: Convert to fraction form
    782,000/1,079,165.76 = 424,304/x
  3. Step 3: Cross multiply
    782,000x = 1,079,165.76 × 424,304
  4. Step 4: Simplify right side
    782,000x = 457,894,348,631.04
  5. Step 5: Solve for x
    x = 457,894,348,631.04/782,000
  6. Step 6: Final answer
    x = 585,542.65

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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.