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Finding the Fourth Proportional to 278,472.48, 384,309.72 and 157,567.92

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Solution

The fourth proportional to 278,472.48, 384,309.72 and 157,567.92 is: 217,453.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,472.48 : 384,309.72 = 157,567.92 : x
  2. Step 2: Convert to fraction form
    278,472.48/384,309.72 = 157,567.92/x
  3. Step 3: Cross multiply
    278,472.48x = 384,309.72 × 157,567.92
  4. Step 4: Simplify right side
    278,472.48x = 60,554,883,216.18
  5. Step 5: Solve for x
    x = 60,554,883,216.18/278,472.48
  6. Step 6: Final answer
    x = 217,453.74

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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.