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Finding the Fourth Proportional to 289,458.72, 434,031.84 and 89,693.28

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Solution

The fourth proportional to 289,458.72, 434,031.84 and 89,693.28 is: 134,491.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,458.72 : 434,031.84 = 89,693.28 : x
  2. Step 2: Convert to fraction form
    289,458.72/434,031.84 = 89,693.28/x
  3. Step 3: Cross multiply
    289,458.72x = 434,031.84 × 89,693.28
  4. Step 4: Simplify right side
    289,458.72x = 38,929,739,354.04
  5. Step 5: Solve for x
    x = 38,929,739,354.04/289,458.72
  6. Step 6: Final answer
    x = 134,491.51

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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.