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Finding the Fourth Proportional to 276,901.96, 415,346.98 and 77,217.04

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Solution

The fourth proportional to 276,901.96, 415,346.98 and 77,217.04 is: 115,823.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,901.96 : 415,346.98 = 77,217.04 : x
  2. Step 2: Convert to fraction form
    276,901.96/415,346.98 = 77,217.04/x
  3. Step 3: Cross multiply
    276,901.96x = 415,346.98 × 77,217.04
  4. Step 4: Simplify right side
    276,901.96x = 32,071,864,368.54
  5. Step 5: Solve for x
    x = 32,071,864,368.54/276,901.96
  6. Step 6: Final answer
    x = 115,823.90

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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.