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Finding the Fourth Proportional to 289,182.62, 433,816.32 and 89,520.86

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Solution

The fourth proportional to 289,182.62, 433,816.32 and 89,520.86 is: 134,294.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,182.62 : 433,816.32 = 89,520.86 : x
  2. Step 2: Convert to fraction form
    289,182.62/433,816.32 = 89,520.86/x
  3. Step 3: Cross multiply
    289,182.62x = 433,816.32 × 89,520.86
  4. Step 4: Simplify right side
    289,182.62x = 38,835,610,048.44
  5. Step 5: Solve for x
    x = 38,835,610,048.44/289,182.62
  6. Step 6: Final answer
    x = 134,294.41

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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.