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Finding the Fourth Proportional to 289,747.66, 434,397.92 and 109,830.46

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Solution

The fourth proportional to 289,747.66, 434,397.92 and 109,830.46 is: 164,660.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,747.66 : 434,397.92 = 109,830.46 : x
  2. Step 2: Convert to fraction form
    289,747.66/434,397.92 = 109,830.46/x
  3. Step 3: Cross multiply
    289,747.66x = 434,397.92 × 109,830.46
  4. Step 4: Simplify right side
    289,747.66x = 47,710,123,376.64
  5. Step 5: Solve for x
    x = 47,710,123,376.64/289,747.66
  6. Step 6: Final answer
    x = 164,660.94

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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.