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Finding the Fourth Proportional to 278,744.96, 384,672.16 and 151,423.04

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Solution

The fourth proportional to 278,744.96, 384,672.16 and 151,423.04 is: 208,966.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,744.96 : 384,672.16 = 151,423.04 : x
  2. Step 2: Convert to fraction form
    278,744.96/384,672.16 = 151,423.04/x
  3. Step 3: Cross multiply
    278,744.96x = 384,672.16 × 151,423.04
  4. Step 4: Simplify right side
    278,744.96x = 58,248,227,870.57
  5. Step 5: Solve for x
    x = 58,248,227,870.57/278,744.96
  6. Step 6: Final answer
    x = 208,966.03

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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.