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Finding the Fourth Proportional to 310,201.53, 465,334.65 and 85,562.00

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Solution

The fourth proportional to 310,201.53, 465,334.65 and 85,562.00 is: 128,351.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,201.53 : 465,334.65 = 85,562.00 : x
  2. Step 2: Convert to fraction form
    310,201.53/465,334.65 = 85,562.00/x
  3. Step 3: Cross multiply
    310,201.53x = 465,334.65 × 85,562.00
  4. Step 4: Simplify right side
    310,201.53x = 39,814,960,996.63
  5. Step 5: Solve for x
    x = 39,814,960,996.63/310,201.53
  6. Step 6: Final answer
    x = 128,351.92

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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.