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Finding the Fourth Proportional to 261,782.40, 361,250.16 and 159,978.24

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Solution

The fourth proportional to 261,782.40, 361,250.16 and 159,978.24 is: 220,764.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,782.40 : 361,250.16 = 159,978.24 : x
  2. Step 2: Convert to fraction form
    261,782.40/361,250.16 = 159,978.24/x
  3. Step 3: Cross multiply
    261,782.40x = 361,250.16 × 159,978.24
  4. Step 4: Simplify right side
    261,782.40x = 57,792,164,796.52
  5. Step 5: Solve for x
    x = 57,792,164,796.52/261,782.40
  6. Step 6: Final answer
    x = 220,764.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.