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Finding the Fourth Proportional to 278,731.69, 384,643.45 and 162,437.96

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Solution

The fourth proportional to 278,731.69, 384,643.45 and 162,437.96 is: 224,160.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,731.69 : 384,643.45 = 162,437.96 : x
  2. Step 2: Convert to fraction form
    278,731.69/384,643.45 = 162,437.96/x
  3. Step 3: Cross multiply
    278,731.69x = 384,643.45 × 162,437.96
  4. Step 4: Simplify right side
    278,731.69x = 62,480,698,510.02
  5. Step 5: Solve for x
    x = 62,480,698,510.02/278,731.69
  6. Step 6: Final answer
    x = 224,160.73

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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.