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Finding the Fourth Proportional to 282,433.80, 423,650.48 and 72,071.76

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Solution

The fourth proportional to 282,433.80, 423,650.48 and 72,071.76 is: 108,107.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,433.80 : 423,650.48 = 72,071.76 : x
  2. Step 2: Convert to fraction form
    282,433.80/423,650.48 = 72,071.76/x
  3. Step 3: Cross multiply
    282,433.80x = 423,650.48 × 72,071.76
  4. Step 4: Simplify right side
    282,433.80x = 30,533,235,718.44
  5. Step 5: Solve for x
    x = 30,533,235,718.44/282,433.80
  6. Step 6: Final answer
    x = 108,107.58

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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.