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Finding the Fourth Proportional to 278,574, 418,027.04 and 101,094.86

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Solution

The fourth proportional to 278,574, 418,027.04 and 101,094.86 is: 151,702.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,574 : 418,027.04 = 101,094.86 : x
  2. Step 2: Convert to fraction form
    278,574/418,027.04 = 101,094.86/x
  3. Step 3: Cross multiply
    278,574x = 418,027.04 × 101,094.86
  4. Step 4: Simplify right side
    278,574x = 42,260,385,085.01
  5. Step 5: Solve for x
    x = 42,260,385,085.01/278,574
  6. Step 6: Final answer
    x = 151,702.55

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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.