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Finding the Fourth Proportional to 289,253.76, 433,922.88 and 89,592

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Solution

The fourth proportional to 289,253.76, 433,922.88 and 89,592 is: 134,401.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,253.76 : 433,922.88 = 89,592 : x
  2. Step 2: Convert to fraction form
    289,253.76/433,922.88 = 89,592/x
  3. Step 3: Cross multiply
    289,253.76x = 433,922.88 × 89,592
  4. Step 4: Simplify right side
    289,253.76x = 38,876,018,664.96
  5. Step 5: Solve for x
    x = 38,876,018,664.96/289,253.76
  6. Step 6: Final answer
    x = 134,401.08

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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.