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Finding the Fourth Proportional to 208,047.80, 312,071.70 and 193,302.20

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Solution

The fourth proportional to 208,047.80, 312,071.70 and 193,302.20 is: 289,953.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,047.80 : 312,071.70 = 193,302.20 : x
  2. Step 2: Convert to fraction form
    208,047.80/312,071.70 = 193,302.20/x
  3. Step 3: Cross multiply
    208,047.80x = 312,071.70 × 193,302.20
  4. Step 4: Simplify right side
    208,047.80x = 60,324,146,167.74
  5. Step 5: Solve for x
    x = 60,324,146,167.74/208,047.80
  6. Step 6: Final answer
    x = 289,953.30

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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.