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Finding the Fourth Proportional to 311,097.68, 466,646.82 and 86,458.16

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Solution

The fourth proportional to 311,097.68, 466,646.82 and 86,458.16 is: 129,687.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,097.68 : 466,646.82 = 86,458.16 : x
  2. Step 2: Convert to fraction form
    311,097.68/466,646.82 = 86,458.16/x
  3. Step 3: Cross multiply
    311,097.68x = 466,646.82 × 86,458.16
  4. Step 4: Simplify right side
    311,097.68x = 40,345,423,093.82
  5. Step 5: Solve for x
    x = 40,345,423,093.82/311,097.68
  6. Step 6: Final answer
    x = 129,687.32

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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.