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Finding the Fourth Proportional to 289,712.20, 433,985.10 and 149,549.80

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Solution

The fourth proportional to 289,712.20, 433,985.10 and 149,549.80 is: 224,023.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,712.20 : 433,985.10 = 149,549.80 : x
  2. Step 2: Convert to fraction form
    289,712.20/433,985.10 = 149,549.80/x
  3. Step 3: Cross multiply
    289,712.20x = 433,985.10 × 149,549.80
  4. Step 4: Simplify right side
    289,712.20x = 64,902,384,907.98
  5. Step 5: Solve for x
    x = 64,902,384,907.98/289,712.20
  6. Step 6: Final answer
    x = 224,023.65

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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.