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Finding the Fourth Proportional to 278,153.75, 417,263.21 and 88,547.69

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Solution

The fourth proportional to 278,153.75, 417,263.21 and 88,547.69 is: 132,831.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,153.75 : 417,263.21 = 88,547.69 : x
  2. Step 2: Convert to fraction form
    278,153.75/417,263.21 = 88,547.69/x
  3. Step 3: Cross multiply
    278,153.75x = 417,263.21 × 88,547.69
  4. Step 4: Simplify right side
    278,153.75x = 36,947,694,632.01
  5. Step 5: Solve for x
    x = 36,947,694,632.01/278,153.75
  6. Step 6: Final answer
    x = 132,831.91

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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.