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Finding the Fourth Proportional to 230,042.34, 317,450.64 and 129,420.90

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Solution

The fourth proportional to 230,042.34, 317,450.64 and 129,420.90 is: 178,596.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,042.34 : 317,450.64 = 129,420.90 : x
  2. Step 2: Convert to fraction form
    230,042.34/317,450.64 = 129,420.90/x
  3. Step 3: Cross multiply
    230,042.34x = 317,450.64 × 129,420.90
  4. Step 4: Simplify right side
    230,042.34x = 41,084,747,534.38
  5. Step 5: Solve for x
    x = 41,084,747,534.38/230,042.34
  6. Step 6: Final answer
    x = 178,596.46

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1.5x scale

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.