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Finding the Fourth Proportional to 278,830.32, 420,346.32 and 260,790

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Solution

The fourth proportional to 278,830.32, 420,346.32 and 260,790 is: 393,149.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,830.32 : 420,346.32 = 260,790 : x
  2. Step 2: Convert to fraction form
    278,830.32/420,346.32 = 260,790/x
  3. Step 3: Cross multiply
    278,830.32x = 420,346.32 × 260,790
  4. Step 4: Simplify right side
    278,830.32x = 109,622,116,792.80
  5. Step 5: Solve for x
    x = 109,622,116,792.80/278,830.32
  6. Step 6: Final answer
    x = 393,149.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.