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Finding the Fourth Proportional to 289,733.78, 434,491.44 and 121,265.78

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Solution

The fourth proportional to 289,733.78, 434,491.44 and 121,265.78 is: 181,852.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,733.78 : 434,491.44 = 121,265.78 : x
  2. Step 2: Convert to fraction form
    289,733.78/434,491.44 = 121,265.78/x
  3. Step 3: Cross multiply
    289,733.78x = 434,491.44 × 121,265.78
  4. Step 4: Simplify right side
    289,733.78x = 52,688,943,374.92
  5. Step 5: Solve for x
    x = 52,688,943,374.92/289,733.78
  6. Step 6: Final answer
    x = 181,852.95

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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.