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Finding the Fourth Proportional to 282,970.72, 424,471.20 and 72,610.48

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Solution

The fourth proportional to 282,970.72, 424,471.20 and 72,610.48 is: 108,919.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,970.72 : 424,471.20 = 72,610.48 : x
  2. Step 2: Convert to fraction form
    282,970.72/424,471.20 = 72,610.48/x
  3. Step 3: Cross multiply
    282,970.72x = 424,471.20 × 72,610.48
  4. Step 4: Simplify right side
    282,970.72x = 30,821,057,578.18
  5. Step 5: Solve for x
    x = 30,821,057,578.18/282,970.72
  6. Step 6: Final answer
    x = 108,919.60

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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.