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Finding the Fourth Proportional to 230,440, 318,007.20 and 124,456

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Solution

The fourth proportional to 230,440, 318,007.20 and 124,456 is: 171,749.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,440 : 318,007.20 = 124,456 : x
  2. Step 2: Convert to fraction form
    230,440/318,007.20 = 124,456/x
  3. Step 3: Cross multiply
    230,440x = 318,007.20 × 124,456
  4. Step 4: Simplify right side
    230,440x = 39,577,904,083.20
  5. Step 5: Solve for x
    x = 39,577,904,083.20/230,440
  6. Step 6: Final answer
    x = 171,749.28

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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.