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Finding the Fourth Proportional to 315,388.50, 473,279.58 and 128,400

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Solution

The fourth proportional to 315,388.50, 473,279.58 and 128,400 is: 192,680.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,388.50 : 473,279.58 = 128,400 : x
  2. Step 2: Convert to fraction form
    315,388.50/473,279.58 = 128,400/x
  3. Step 3: Cross multiply
    315,388.50x = 473,279.58 × 128,400
  4. Step 4: Simplify right side
    315,388.50x = 60,769,098,072
  5. Step 5: Solve for x
    x = 60,769,098,072/315,388.50
  6. Step 6: Final answer
    x = 192,680.13

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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.