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Finding the Fourth Proportional to 261,140.40, 392,002.20 and 202,237.20

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Solution

The fourth proportional to 261,140.40, 392,002.20 and 202,237.20 is: 303,581.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,140.40 : 392,002.20 = 202,237.20 : x
  2. Step 2: Convert to fraction form
    261,140.40/392,002.20 = 202,237.20/x
  3. Step 3: Cross multiply
    261,140.40x = 392,002.20 × 202,237.20
  4. Step 4: Simplify right side
    261,140.40x = 79,277,427,321.84
  5. Step 5: Solve for x
    x = 79,277,427,321.84/261,140.40
  6. Step 6: Final answer
    x = 303,581.63

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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.