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Finding the Fourth Proportional to 230,545, 318,414.54 and 154,962.28

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Solution

The fourth proportional to 230,545, 318,414.54 and 154,962.28 is: 214,024.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,545 : 318,414.54 = 154,962.28 : x
  2. Step 2: Convert to fraction form
    230,545/318,414.54 = 154,962.28/x
  3. Step 3: Cross multiply
    230,545x = 318,414.54 × 154,962.28
  4. Step 4: Simplify right side
    230,545x = 49,342,243,103.55
  5. Step 5: Solve for x
    x = 49,342,243,103.55/230,545
  6. Step 6: Final answer
    x = 214,024.35

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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.