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Finding the Fourth Proportional to 261,504.40, 392,062.20 and 143,309.20

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Solution

The fourth proportional to 261,504.40, 392,062.20 and 143,309.20 is: 214,857.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,504.40 : 392,062.20 = 143,309.20 : x
  2. Step 2: Convert to fraction form
    261,504.40/392,062.20 = 143,309.20/x
  3. Step 3: Cross multiply
    261,504.40x = 392,062.20 × 143,309.20
  4. Step 4: Simplify right side
    261,504.40x = 56,186,120,232.24
  5. Step 5: Solve for x
    x = 56,186,120,232.24/261,504.40
  6. Step 6: Final answer
    x = 214,857.27

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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.