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Finding the Fourth Proportional to 289,889.64, 434,830.14 and 100,487.88

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Solution

The fourth proportional to 289,889.64, 434,830.14 and 100,487.88 is: 150,730.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,889.64 : 434,830.14 = 100,487.88 : x
  2. Step 2: Convert to fraction form
    289,889.64/434,830.14 = 100,487.88/x
  3. Step 3: Cross multiply
    289,889.64x = 434,830.14 × 100,487.88
  4. Step 4: Simplify right side
    289,889.64x = 43,695,158,928.70
  5. Step 5: Solve for x
    x = 43,695,158,928.70/289,889.64
  6. Step 6: Final answer
    x = 150,730.32

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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.