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Finding the Fourth Proportional to 230,781, 318,478.19 and 130,179

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Solution

The fourth proportional to 230,781, 318,478.19 and 130,179 is: 179,647.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,781 : 318,478.19 = 130,179 : x
  2. Step 2: Convert to fraction form
    230,781/318,478.19 = 130,179/x
  3. Step 3: Cross multiply
    230,781x = 318,478.19 × 130,179
  4. Step 4: Simplify right side
    230,781x = 41,459,171,645.12
  5. Step 5: Solve for x
    x = 41,459,171,645.12/230,781
  6. Step 6: Final answer
    x = 179,647.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.