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Finding the Fourth Proportional to 282,613.60, 423,920.40 and 280,645.30

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Solution

The fourth proportional to 282,613.60, 423,920.40 and 280,645.30 is: 420,967.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,613.60 : 423,920.40 = 280,645.30 : x
  2. Step 2: Convert to fraction form
    282,613.60/423,920.40 = 280,645.30/x
  3. Step 3: Cross multiply
    282,613.60x = 423,920.40 × 280,645.30
  4. Step 4: Simplify right side
    282,613.60x = 118,971,267,834.12
  5. Step 5: Solve for x
    x = 118,971,267,834.12/282,613.60
  6. Step 6: Final answer
    x = 420,967.95

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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.