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Finding the Fourth Proportional to 457,009.40, 685,514.10 and 120,027.80

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Solution

The fourth proportional to 457,009.40, 685,514.10 and 120,027.80 is: 180,041.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,009.40 : 685,514.10 = 120,027.80 : x
  2. Step 2: Convert to fraction form
    457,009.40/685,514.10 = 120,027.80/x
  3. Step 3: Cross multiply
    457,009.40x = 685,514.10 × 120,027.80
  4. Step 4: Simplify right side
    457,009.40x = 82,280,749,291.98
  5. Step 5: Solve for x
    x = 82,280,749,291.98/457,009.40
  6. Step 6: Final answer
    x = 180,041.70

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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.