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Finding the Fourth Proportional to 289,731.78, 434,488.44 and 121,263.78

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Solution

The fourth proportional to 289,731.78, 434,488.44 and 121,263.78 is: 181,849.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,731.78 : 434,488.44 = 121,263.78 : x
  2. Step 2: Convert to fraction form
    289,731.78/434,488.44 = 121,263.78/x
  3. Step 3: Cross multiply
    289,731.78x = 434,488.44 × 121,263.78
  4. Step 4: Simplify right side
    289,731.78x = 52,687,710,600.70
  5. Step 5: Solve for x
    x = 52,687,710,600.70/289,731.78
  6. Step 6: Final answer
    x = 181,849.95

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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.