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Finding the Fourth Proportional to 208,007.20, 312,010.80 and 194,885.20

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Solution

The fourth proportional to 208,007.20, 312,010.80 and 194,885.20 is: 292,327.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,007.20 : 312,010.80 = 194,885.20 : x
  2. Step 2: Convert to fraction form
    208,007.20/312,010.80 = 194,885.20/x
  3. Step 3: Cross multiply
    208,007.20x = 312,010.80 × 194,885.20
  4. Step 4: Simplify right side
    208,007.20x = 60,806,287,160.16
  5. Step 5: Solve for x
    x = 60,806,287,160.16/208,007.20
  6. Step 6: Final answer
    x = 292,327.80

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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.