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Finding the Fourth Proportional to 315,443.20, 473,164.80 and 203,468.80

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Solution

The fourth proportional to 315,443.20, 473,164.80 and 203,468.80 is: 305,203.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,443.20 : 473,164.80 = 203,468.80 : x
  2. Step 2: Convert to fraction form
    315,443.20/473,164.80 = 203,468.80/x
  3. Step 3: Cross multiply
    315,443.20x = 473,164.80 × 203,468.80
  4. Step 4: Simplify right side
    315,443.20x = 96,274,274,058.24
  5. Step 5: Solve for x
    x = 96,274,274,058.24/315,443.20
  6. Step 6: Final answer
    x = 305,203.20

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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.