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Finding the Fourth Proportional to 261,728.70, 392,593.05 and 209,240.70

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Solution

The fourth proportional to 261,728.70, 392,593.05 and 209,240.70 is: 313,861.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,728.70 : 392,593.05 = 209,240.70 : x
  2. Step 2: Convert to fraction form
    261,728.70/392,593.05 = 209,240.70/x
  3. Step 3: Cross multiply
    261,728.70x = 392,593.05 × 209,240.70
  4. Step 4: Simplify right side
    261,728.70x = 82,146,444,597.14
  5. Step 5: Solve for x
    x = 82,146,444,597.14/261,728.70
  6. Step 6: Final answer
    x = 313,861.05

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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.