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Finding the Fourth Proportional to 229,046.40, 315,990.72 and 153,619.20

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Solution

The fourth proportional to 229,046.40, 315,990.72 and 153,619.20 is: 211,931.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,046.40 : 315,990.72 = 153,619.20 : x
  2. Step 2: Convert to fraction form
    229,046.40/315,990.72 = 153,619.20/x
  3. Step 3: Cross multiply
    229,046.40x = 315,990.72 × 153,619.20
  4. Step 4: Simplify right side
    229,046.40x = 48,542,241,613.82
  5. Step 5: Solve for x
    x = 48,542,241,613.82/229,046.40
  6. Step 6: Final answer
    x = 211,931.91

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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.