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Finding the Fourth Proportional to 702,947.20, 1,053,643.20 and 387,630.40

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Solution

The fourth proportional to 702,947.20, 1,053,643.20 and 387,630.40 is: 581,016.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,947.20 : 1,053,643.20 = 387,630.40 : x
  2. Step 2: Convert to fraction form
    702,947.20/1,053,643.20 = 387,630.40/x
  3. Step 3: Cross multiply
    702,947.20x = 1,053,643.20 × 387,630.40
  4. Step 4: Simplify right side
    702,947.20x = 408,424,135,073.28
  5. Step 5: Solve for x
    x = 408,424,135,073.28/702,947.20
  6. Step 6: Final answer
    x = 581,016.80

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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.