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Finding the Fourth Proportional to 208,520.33, 312,780.42 and 180,356.66

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Solution

The fourth proportional to 208,520.33, 312,780.42 and 180,356.66 is: 270,534.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,520.33 : 312,780.42 = 180,356.66 : x
  2. Step 2: Convert to fraction form
    208,520.33/312,780.42 = 180,356.66/x
  3. Step 3: Cross multiply
    208,520.33x = 312,780.42 × 180,356.66
  4. Step 4: Simplify right side
    208,520.33x = 56,412,031,473.62
  5. Step 5: Solve for x
    x = 56,412,031,473.62/208,520.33
  6. Step 6: Final answer
    x = 270,534.93

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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.