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Finding the Fourth Proportional to 282,684.28, 424,024.26 and 72,321.88

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Solution

The fourth proportional to 282,684.28, 424,024.26 and 72,321.88 is: 108,482.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,684.28 : 424,024.26 = 72,321.88 : x
  2. Step 2: Convert to fraction form
    282,684.28/424,024.26 = 72,321.88/x
  3. Step 3: Cross multiply
    282,684.28x = 424,024.26 × 72,321.88
  4. Step 4: Simplify right side
    282,684.28x = 30,666,231,648.81
  5. Step 5: Solve for x
    x = 30,666,231,648.81/282,684.28
  6. Step 6: Final answer
    x = 108,482.27

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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.