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Finding the Fourth Proportional to 279,833.15, 419,831.76 and 90,322.76

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Solution

The fourth proportional to 279,833.15, 419,831.76 and 90,322.76 is: 135,510.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,833.15 : 419,831.76 = 90,322.76 : x
  2. Step 2: Convert to fraction form
    279,833.15/419,831.76 = 90,322.76/x
  3. Step 3: Cross multiply
    279,833.15x = 419,831.76 × 90,322.76
  4. Step 4: Simplify right side
    279,833.15x = 37,920,363,298.86
  5. Step 5: Solve for x
    x = 37,920,363,298.86/279,833.15
  6. Step 6: Final answer
    x = 135,510.62

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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.