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Finding the Fourth Proportional to 278,906,125.80, 418,359,188.70 and 84,815,999.40

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Solution

The fourth proportional to 278,906,125.80, 418,359,188.70 and 84,815,999.40 is: 127,223,999.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,906,125.80 : 418,359,188.70 = 84,815,999.40 : x
  2. Step 2: Convert to fraction form
    278,906,125.80/418,359,188.70 = 84,815,999.40/x
  3. Step 3: Cross multiply
    278,906,125.80x = 418,359,188.70 × 84,815,999.40
  4. Step 4: Simplify right side
    278,906,125.80x = 35,483,552,697,763,688
  5. Step 5: Solve for x
    x = 35,483,552,697,763,688/278,906,125.80
  6. Step 6: Final answer
    x = 127,223,999.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.