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Finding the Fourth Proportional to 289,479.29, 434,224.40 and 89,806.19

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Solution

The fourth proportional to 289,479.29, 434,224.40 and 89,806.19 is: 134,710.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,479.29 : 434,224.40 = 89,806.19 : x
  2. Step 2: Convert to fraction form
    289,479.29/434,224.40 = 89,806.19/x
  3. Step 3: Cross multiply
    289,479.29x = 434,224.40 × 89,806.19
  4. Step 4: Simplify right side
    289,479.29x = 38,996,036,348.88
  5. Step 5: Solve for x
    x = 38,996,036,348.88/289,479.29
  6. Step 6: Final answer
    x = 134,710.97

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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.