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Finding the Fourth Proportional to 208,020.20, 312,030.30 and 181,776.20

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Solution

The fourth proportional to 208,020.20, 312,030.30 and 181,776.20 is: 272,664.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,020.20 : 312,030.30 = 181,776.20 : x
  2. Step 2: Convert to fraction form
    208,020.20/312,030.30 = 181,776.20/x
  3. Step 3: Cross multiply
    208,020.20x = 312,030.30 × 181,776.20
  4. Step 4: Simplify right side
    208,020.20x = 56,719,682,218.86
  5. Step 5: Solve for x
    x = 56,719,682,218.86/208,020.20
  6. Step 6: Final answer
    x = 272,664.30

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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.