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Finding the Fourth Proportional to 288,893.74, 433,389 and 99,346.42

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Solution

The fourth proportional to 288,893.74, 433,389 and 99,346.42 is: 149,036.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,893.74 : 433,389 = 99,346.42 : x
  2. Step 2: Convert to fraction form
    288,893.74/433,389 = 99,346.42/x
  3. Step 3: Cross multiply
    288,893.74x = 433,389 × 99,346.42
  4. Step 4: Simplify right side
    288,893.74x = 43,055,645,617.38
  5. Step 5: Solve for x
    x = 43,055,645,617.38/288,893.74
  6. Step 6: Final answer
    x = 149,036.27

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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.