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Finding the Fourth Proportional to 278,642.88, 384,531.75 and 157,780.98

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Solution

The fourth proportional to 278,642.88, 384,531.75 and 157,780.98 is: 217,740.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,642.88 : 384,531.75 = 157,780.98 : x
  2. Step 2: Convert to fraction form
    278,642.88/384,531.75 = 157,780.98/x
  3. Step 3: Cross multiply
    278,642.88x = 384,531.75 × 157,780.98
  4. Step 4: Simplify right side
    278,642.88x = 60,671,796,356.12
  5. Step 5: Solve for x
    x = 60,671,796,356.12/278,642.88
  6. Step 6: Final answer
    x = 217,740.34

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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.