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Finding the Fourth Proportional to 289,881.46, 434,818.14 and 100,479.70

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Solution

The fourth proportional to 289,881.46, 434,818.14 and 100,479.70 is: 150,718.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,881.46 : 434,818.14 = 100,479.70 : x
  2. Step 2: Convert to fraction form
    289,881.46/434,818.14 = 100,479.70/x
  3. Step 3: Cross multiply
    289,881.46x = 434,818.14 × 100,479.70
  4. Step 4: Simplify right side
    289,881.46x = 43,690,396,261.76
  5. Step 5: Solve for x
    x = 43,690,396,261.76/289,881.46
  6. Step 6: Final answer
    x = 150,718.15

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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.