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Finding the Fourth Proportional to 278,681.62, 384,567.78 and 157,823.78

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Solution

The fourth proportional to 278,681.62, 384,567.78 and 157,823.78 is: 217,789.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,681.62 : 384,567.78 = 157,823.78 : x
  2. Step 2: Convert to fraction form
    278,681.62/384,567.78 = 157,823.78/x
  3. Step 3: Cross multiply
    278,681.62x = 384,567.78 × 157,823.78
  4. Step 4: Simplify right side
    278,681.62x = 60,693,938,043.17
  5. Step 5: Solve for x
    x = 60,693,938,043.17/278,681.62
  6. Step 6: Final answer
    x = 217,789.52

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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.