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Finding the Fourth Proportional to 315,966.36, 473,530.32 and 138,279.90

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Solution

The fourth proportional to 315,966.36, 473,530.32 and 138,279.90 is: 207,236.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,966.36 : 473,530.32 = 138,279.90 : x
  2. Step 2: Convert to fraction form
    315,966.36/473,530.32 = 138,279.90/x
  3. Step 3: Cross multiply
    315,966.36x = 473,530.32 × 138,279.90
  4. Step 4: Simplify right side
    315,966.36x = 65,479,725,296.57
  5. Step 5: Solve for x
    x = 65,479,725,296.57/315,966.36
  6. Step 6: Final answer
    x = 207,236.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.