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Finding the Fourth Proportional to 288,931.72, 433,285.96 and 99,356.28

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Solution

The fourth proportional to 288,931.72, 433,285.96 and 99,356.28 is: 148,996.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,931.72 : 433,285.96 = 99,356.28 : x
  2. Step 2: Convert to fraction form
    288,931.72/433,285.96 = 99,356.28/x
  3. Step 3: Cross multiply
    288,931.72x = 433,285.96 × 99,356.28
  4. Step 4: Simplify right side
    288,931.72x = 43,049,681,161.83
  5. Step 5: Solve for x
    x = 43,049,681,161.83/288,931.72
  6. Step 6: Final answer
    x = 148,996.04

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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.