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Finding the Fourth Proportional to 288,707.94, 433,057.22 and 86,304.54

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Solution

The fourth proportional to 288,707.94, 433,057.22 and 86,304.54 is: 129,455.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,707.94 : 433,057.22 = 86,304.54 : x
  2. Step 2: Convert to fraction form
    288,707.94/433,057.22 = 86,304.54/x
  3. Step 3: Cross multiply
    288,707.94x = 433,057.22 × 86,304.54
  4. Step 4: Simplify right side
    288,707.94x = 37,374,804,165.78
  5. Step 5: Solve for x
    x = 37,374,804,165.78/288,707.94
  6. Step 6: Final answer
    x = 129,455.41

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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.