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Finding the Fourth Proportional to 261,704.70, 392,557.05 and 209,216.70

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Solution

The fourth proportional to 261,704.70, 392,557.05 and 209,216.70 is: 313,825.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,704.70 : 392,557.05 = 209,216.70 : x
  2. Step 2: Convert to fraction form
    261,704.70/392,557.05 = 209,216.70/x
  3. Step 3: Cross multiply
    261,704.70x = 392,557.05 × 209,216.70
  4. Step 4: Simplify right side
    261,704.70x = 82,129,490,562.74
  5. Step 5: Solve for x
    x = 82,129,490,562.74/261,704.70
  6. Step 6: Final answer
    x = 313,825.05

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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.