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Finding the Fourth Proportional to 279,478.62, 419,224.82 and 101,985.62

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Solution

The fourth proportional to 279,478.62, 419,224.82 and 101,985.62 is: 152,980.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,478.62 : 419,224.82 = 101,985.62 : x
  2. Step 2: Convert to fraction form
    279,478.62/419,224.82 = 101,985.62/x
  3. Step 3: Cross multiply
    279,478.62x = 419,224.82 × 101,985.62
  4. Step 4: Simplify right side
    279,478.62x = 42,754,900,581.04
  5. Step 5: Solve for x
    x = 42,754,900,581.04/279,478.62
  6. Step 6: Final answer
    x = 152,980.93

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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.