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Finding the Fourth Proportional to 278,881.66, 384,809.16 and 157,997.98

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Solution

The fourth proportional to 278,881.66, 384,809.16 and 157,997.98 is: 218,010.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,881.66 : 384,809.16 = 157,997.98 : x
  2. Step 2: Convert to fraction form
    278,881.66/384,809.16 = 157,997.98/x
  3. Step 3: Cross multiply
    278,881.66x = 384,809.16 × 157,997.98
  4. Step 4: Simplify right side
    278,881.66x = 60,799,069,965.50
  5. Step 5: Solve for x
    x = 60,799,069,965.50/278,881.66
  6. Step 6: Final answer
    x = 218,010.28

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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.