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Finding the Fourth Proportional to 261,708.70, 392,563.05 and 209,220.70

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Solution

The fourth proportional to 261,708.70, 392,563.05 and 209,220.70 is: 313,831.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,708.70 : 392,563.05 = 209,220.70 : x
  2. Step 2: Convert to fraction form
    261,708.70/392,563.05 = 209,220.70/x
  3. Step 3: Cross multiply
    261,708.70x = 392,563.05 × 209,220.70
  4. Step 4: Simplify right side
    261,708.70x = 82,132,316,115.14
  5. Step 5: Solve for x
    x = 82,132,316,115.14/261,708.70
  6. Step 6: Final answer
    x = 313,831.05

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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.