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Finding the Fourth Proportional to 289,545.92, 434,376.28 and 89,857.78

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Solution

The fourth proportional to 289,545.92, 434,376.28 and 89,857.78 is: 134,804.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,545.92 : 434,376.28 = 89,857.78 : x
  2. Step 2: Convert to fraction form
    289,545.92/434,376.28 = 89,857.78/x
  3. Step 3: Cross multiply
    289,545.92x = 434,376.28 × 89,857.78
  4. Step 4: Simplify right side
    289,545.92x = 39,032,088,205.46
  5. Step 5: Solve for x
    x = 39,032,088,205.46/289,545.92
  6. Step 6: Final answer
    x = 134,804.48

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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.