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Finding the Fourth Proportional to 278,817.89, 384,756.12 and 157,956.71

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Solution

The fourth proportional to 278,817.89, 384,756.12 and 157,956.71 is: 217,973.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,817.89 : 384,756.12 = 157,956.71 : x
  2. Step 2: Convert to fraction form
    278,817.89/384,756.12 = 157,956.71/x
  3. Step 3: Cross multiply
    278,817.89x = 384,756.12 × 157,956.71
  4. Step 4: Simplify right side
    278,817.89x = 60,774,808,943.78
  5. Step 5: Solve for x
    x = 60,774,808,943.78/278,817.89
  6. Step 6: Final answer
    x = 217,973.14

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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.