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Finding the Fourth Proportional to 312,017.85, 467,650.80 and 143,305.38

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Solution

The fourth proportional to 312,017.85, 467,650.80 and 143,305.38 is: 214,785.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,017.85 : 467,650.80 = 143,305.38 : x
  2. Step 2: Convert to fraction form
    312,017.85/467,650.80 = 143,305.38/x
  3. Step 3: Cross multiply
    312,017.85x = 467,650.80 × 143,305.38
  4. Step 4: Simplify right side
    312,017.85x = 67,016,875,601.30
  5. Step 5: Solve for x
    x = 67,016,875,601.30/312,017.85
  6. Step 6: Final answer
    x = 214,785.39

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1.5x scale

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.