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Finding the Fourth Proportional to 291,985.80, 437,978.70 and 288,049.20

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Solution

The fourth proportional to 291,985.80, 437,978.70 and 288,049.20 is: 432,073.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,985.80 : 437,978.70 = 288,049.20 : x
  2. Step 2: Convert to fraction form
    291,985.80/437,978.70 = 288,049.20/x
  3. Step 3: Cross multiply
    291,985.80x = 437,978.70 × 288,049.20
  4. Step 4: Simplify right side
    291,985.80x = 126,159,414,152.04
  5. Step 5: Solve for x
    x = 126,159,414,152.04/291,985.80
  6. Step 6: Final answer
    x = 432,073.80

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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.