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Finding the Fourth Proportional to 261,142.56, 358,029.78 and 256,418.64

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Solution

The fourth proportional to 261,142.56, 358,029.78 and 256,418.64 is: 351,553.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,142.56 : 358,029.78 = 256,418.64 : x
  2. Step 2: Convert to fraction form
    261,142.56/358,029.78 = 256,418.64/x
  3. Step 3: Cross multiply
    261,142.56x = 358,029.78 × 256,418.64
  4. Step 4: Simplify right side
    261,142.56x = 91,805,509,267.10
  5. Step 5: Solve for x
    x = 91,805,509,267.10/261,142.56
  6. Step 6: Final answer
    x = 351,553.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.