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Finding the Fourth Proportional to 310,298.11, 465,437.86 and 85,672.25

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Solution

The fourth proportional to 310,298.11, 465,437.86 and 85,672.25 is: 128,505.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,298.11 : 465,437.86 = 85,672.25 : x
  2. Step 2: Convert to fraction form
    310,298.11/465,437.86 = 85,672.25/x
  3. Step 3: Cross multiply
    310,298.11x = 465,437.86 × 85,672.25
  4. Step 4: Simplify right side
    310,298.11x = 39,875,108,273.02
  5. Step 5: Solve for x
    x = 39,875,108,273.02/310,298.11
  6. Step 6: Final answer
    x = 128,505.81

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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.