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Finding the Fourth Proportional to 278,565, 418,013.54 and 101,085.86

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Solution

The fourth proportional to 278,565, 418,013.54 and 101,085.86 is: 151,689.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,565 : 418,013.54 = 101,085.86 : x
  2. Step 2: Convert to fraction form
    278,565/418,013.54 = 101,085.86/x
  3. Step 3: Cross multiply
    278,565x = 418,013.54 × 101,085.86
  4. Step 4: Simplify right side
    278,565x = 42,255,258,182.54
  5. Step 5: Solve for x
    x = 42,255,258,182.54/278,565
  6. Step 6: Final answer
    x = 151,689.04

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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.