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Finding the Fourth Proportional to 288,978.60, 433,467.90 and 101,965.80

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Solution

The fourth proportional to 288,978.60, 433,467.90 and 101,965.80 is: 152,948.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,978.60 : 433,467.90 = 101,965.80 : x
  2. Step 2: Convert to fraction form
    288,978.60/433,467.90 = 101,965.80/x
  3. Step 3: Cross multiply
    288,978.60x = 433,467.90 × 101,965.80
  4. Step 4: Simplify right side
    288,978.60x = 44,198,901,197.82
  5. Step 5: Solve for x
    x = 44,198,901,197.82/288,978.60
  6. Step 6: Final answer
    x = 152,948.70

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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.