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Finding the Fourth Proportional to 205,009.70, 307,514.55 and 181,508.90

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Solution

The fourth proportional to 205,009.70, 307,514.55 and 181,508.90 is: 272,263.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,009.70 : 307,514.55 = 181,508.90 : x
  2. Step 2: Convert to fraction form
    205,009.70/307,514.55 = 181,508.90/x
  3. Step 3: Cross multiply
    205,009.70x = 307,514.55 × 181,508.90
  4. Step 4: Simplify right side
    205,009.70x = 55,816,627,704.50
  5. Step 5: Solve for x
    x = 55,816,627,704.50/205,009.70
  6. Step 6: Final answer
    x = 272,263.35

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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.