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Finding the Fourth Proportional to 311,587.22, 467,459.47 and 86,947.46

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Solution

The fourth proportional to 311,587.22, 467,459.47 and 86,947.46 is: 130,443.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,587.22 : 467,459.47 = 86,947.46 : x
  2. Step 2: Convert to fraction form
    311,587.22/467,459.47 = 86,947.46/x
  3. Step 3: Cross multiply
    311,587.22x = 467,459.47 × 86,947.46
  4. Step 4: Simplify right side
    311,587.22x = 40,644,413,093.81
  5. Step 5: Solve for x
    x = 40,644,413,093.81/311,587.22
  6. Step 6: Final answer
    x = 130,443.13

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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.