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Finding the Fourth Proportional to 278,758.95, 384,687.81 and 151,434.65

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Solution

The fourth proportional to 278,758.95, 384,687.81 and 151,434.65 is: 208,980.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,758.95 : 384,687.81 = 151,434.65 : x
  2. Step 2: Convert to fraction form
    278,758.95/384,687.81 = 151,434.65/x
  3. Step 3: Cross multiply
    278,758.95x = 384,687.81 × 151,434.65
  4. Step 4: Simplify right side
    278,758.95x = 58,255,061,943.18
  5. Step 5: Solve for x
    x = 58,255,061,943.18/278,758.95
  6. Step 6: Final answer
    x = 208,980.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.