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Finding the Fourth Proportional to 278,681.66, 384,567.82 and 157,823.81

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Solution

The fourth proportional to 278,681.66, 384,567.82 and 157,823.81 is: 217,789.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,681.66 : 384,567.82 = 157,823.81 : x
  2. Step 2: Convert to fraction form
    278,681.66/384,567.82 = 157,823.81/x
  3. Step 3: Cross multiply
    278,681.66x = 384,567.82 × 157,823.81
  4. Step 4: Simplify right side
    278,681.66x = 60,693,957,766.68
  5. Step 5: Solve for x
    x = 60,693,957,766.68/278,681.66
  6. Step 6: Final answer
    x = 217,789.57

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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.