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Finding the Fourth Proportional to 288,830.64, 433,323.24 and 89,142.96

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Solution

The fourth proportional to 288,830.64, 433,323.24 and 89,142.96 is: 133,738.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,830.64 : 433,323.24 = 89,142.96 : x
  2. Step 2: Convert to fraction form
    288,830.64/433,323.24 = 89,142.96/x
  3. Step 3: Cross multiply
    288,830.64x = 433,323.24 × 89,142.96
  4. Step 4: Simplify right side
    288,830.64x = 38,627,716,250.39
  5. Step 5: Solve for x
    x = 38,627,716,250.39/288,830.64
  6. Step 6: Final answer
    x = 133,738.29

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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.