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Finding the Fourth Proportional to 230,790.48, 318,478.56 and 130,182

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Solution

The fourth proportional to 230,790.48, 318,478.56 and 130,182 is: 179,644.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,790.48 : 318,478.56 = 130,182 : x
  2. Step 2: Convert to fraction form
    230,790.48/318,478.56 = 130,182/x
  3. Step 3: Cross multiply
    230,790.48x = 318,478.56 × 130,182
  4. Step 4: Simplify right side
    230,790.48x = 41,460,175,897.92
  5. Step 5: Solve for x
    x = 41,460,175,897.92/230,790.48
  6. Step 6: Final answer
    x = 179,644.22

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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.