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Finding the Fourth Proportional to 228,506.91, 315,335.64 and 126,530.16

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Solution

The fourth proportional to 228,506.91, 315,335.64 and 126,530.16 is: 174,609.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,506.91 : 315,335.64 = 126,530.16 : x
  2. Step 2: Convert to fraction form
    228,506.91/315,335.64 = 126,530.16/x
  3. Step 3: Cross multiply
    228,506.91x = 315,335.64 × 126,530.16
  4. Step 4: Simplify right side
    228,506.91x = 39,899,468,982.90
  5. Step 5: Solve for x
    x = 39,899,468,982.90/228,506.91
  6. Step 6: Final answer
    x = 174,609.46

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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.