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Finding the Fourth Proportional to 208,032.20, 312,048.30 and 181,788.20

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Solution

The fourth proportional to 208,032.20, 312,048.30 and 181,788.20 is: 272,682.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,032.20 : 312,048.30 = 181,788.20 : x
  2. Step 2: Convert to fraction form
    208,032.20/312,048.30 = 181,788.20/x
  3. Step 3: Cross multiply
    208,032.20x = 312,048.30 × 181,788.20
  4. Step 4: Simplify right side
    208,032.20x = 56,726,698,770.06
  5. Step 5: Solve for x
    x = 56,726,698,770.06/208,032.20
  6. Step 6: Final answer
    x = 272,682.30

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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.