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Finding the Fourth Proportional to 230,132.54, 317,681.19 and 154,724.78

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Solution

The fourth proportional to 230,132.54, 317,681.19 and 154,724.78 is: 213,586.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,132.54 : 317,681.19 = 154,724.78 : x
  2. Step 2: Convert to fraction form
    230,132.54/317,681.19 = 154,724.78/x
  3. Step 3: Cross multiply
    230,132.54x = 317,681.19 × 154,724.78
  4. Step 4: Simplify right side
    230,132.54x = 49,153,153,027.09
  5. Step 5: Solve for x
    x = 49,153,153,027.09/230,132.54
  6. Step 6: Final answer
    x = 213,586.28

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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.