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Finding the Fourth Proportional to 289,337.28, 434,005.98 and 78,980.88

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Solution

The fourth proportional to 289,337.28, 434,005.98 and 78,980.88 is: 118,471.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,337.28 : 434,005.98 = 78,980.88 : x
  2. Step 2: Convert to fraction form
    289,337.28/434,005.98 = 78,980.88/x
  3. Step 3: Cross multiply
    289,337.28x = 434,005.98 × 78,980.88
  4. Step 4: Simplify right side
    289,337.28x = 34,278,174,225.66
  5. Step 5: Solve for x
    x = 34,278,174,225.66/289,337.28
  6. Step 6: Final answer
    x = 118,471.34

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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.