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Finding the Fourth Proportional to 459,251, 688,886 and 167,120.82

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Solution

The fourth proportional to 459,251, 688,886 and 167,120.82 is: 250,684.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,251 : 688,886 = 167,120.82 : x
  2. Step 2: Convert to fraction form
    459,251/688,886 = 167,120.82/x
  3. Step 3: Cross multiply
    459,251x = 688,886 × 167,120.82
  4. Step 4: Simplify right side
    459,251x = 115,127,193,206.52
  5. Step 5: Solve for x
    x = 115,127,193,206.52/459,251
  6. Step 6: Final answer
    x = 250,684.69

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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.