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Finding the Fourth Proportional to 323,279.95, 446,140.17 and 180,040

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Solution

The fourth proportional to 323,279.95, 446,140.17 and 180,040 is: 248,462.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,279.95 : 446,140.17 = 180,040 : x
  2. Step 2: Convert to fraction form
    323,279.95/446,140.17 = 180,040/x
  3. Step 3: Cross multiply
    323,279.95x = 446,140.17 × 180,040
  4. Step 4: Simplify right side
    323,279.95x = 80,323,076,206.80
  5. Step 5: Solve for x
    x = 80,323,076,206.80/323,279.95
  6. Step 6: Final answer
    x = 248,462.91

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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.