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Finding the Fourth Proportional to 289,050.40, 398,873.28 and 159,981.76

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Solution

The fourth proportional to 289,050.40, 398,873.28 and 159,981.76 is: 220,765.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,050.40 : 398,873.28 = 159,981.76 : x
  2. Step 2: Convert to fraction form
    289,050.40/398,873.28 = 159,981.76/x
  3. Step 3: Cross multiply
    289,050.40x = 398,873.28 × 159,981.76
  4. Step 4: Simplify right side
    289,050.40x = 63,812,449,351.37
  5. Step 5: Solve for x
    x = 63,812,449,351.37/289,050.40
  6. Step 6: Final answer
    x = 220,765.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.