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Finding the Fourth Proportional to 310,178.64, 465,443.64 and 132,669.84

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Solution

The fourth proportional to 310,178.64, 465,443.64 and 132,669.84 is: 199,079.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,178.64 : 465,443.64 = 132,669.84 : x
  2. Step 2: Convert to fraction form
    310,178.64/465,443.64 = 132,669.84/x
  3. Step 3: Cross multiply
    310,178.64x = 465,443.64 × 132,669.84
  4. Step 4: Simplify right side
    310,178.64x = 61,750,333,247.82
  5. Step 5: Solve for x
    x = 61,750,333,247.82/310,178.64
  6. Step 6: Final answer
    x = 199,079.90

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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.