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Finding the Fourth Proportional to 279,031.59, 418,294.26 and 101,413.17

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Solution

The fourth proportional to 279,031.59, 418,294.26 and 101,413.17 is: 152,027.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,031.59 : 418,294.26 = 101,413.17 : x
  2. Step 2: Convert to fraction form
    279,031.59/418,294.26 = 101,413.17/x
  3. Step 3: Cross multiply
    279,031.59x = 418,294.26 × 101,413.17
  4. Step 4: Simplify right side
    279,031.59x = 42,420,546,899.40
  5. Step 5: Solve for x
    x = 42,420,546,899.40/279,031.59
  6. Step 6: Final answer
    x = 152,027.76

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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.