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Finding the Fourth Proportional to 261,658.66, 361,145.23 and 159,662.28

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Solution

The fourth proportional to 261,658.66, 361,145.23 and 159,662.28 is: 220,368.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,658.66 : 361,145.23 = 159,662.28 : x
  2. Step 2: Convert to fraction form
    261,658.66/361,145.23 = 159,662.28/x
  3. Step 3: Cross multiply
    261,658.66x = 361,145.23 × 159,662.28
  4. Step 4: Simplify right side
    261,658.66x = 57,661,269,079.47
  5. Step 5: Solve for x
    x = 57,661,269,079.47/261,658.66
  6. Step 6: Final answer
    x = 220,368.28

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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.