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Finding the Fourth Proportional to 278,779.68, 384,631.20 and 157,901.76

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Solution

The fourth proportional to 278,779.68, 384,631.20 and 157,901.76 is: 217,856.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,779.68 : 384,631.20 = 157,901.76 : x
  2. Step 2: Convert to fraction form
    278,779.68/384,631.20 = 157,901.76/x
  3. Step 3: Cross multiply
    278,779.68x = 384,631.20 × 157,901.76
  4. Step 4: Simplify right side
    278,779.68x = 60,733,943,430.91
  5. Step 5: Solve for x
    x = 60,733,943,430.91/278,779.68
  6. Step 6: Final answer
    x = 217,856.42

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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.