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Finding the Fourth Proportional to 275,588.20, 413,382.30 and 256,925.80

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Solution

The fourth proportional to 275,588.20, 413,382.30 and 256,925.80 is: 385,388.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,588.20 : 413,382.30 = 256,925.80 : x
  2. Step 2: Convert to fraction form
    275,588.20/413,382.30 = 256,925.80/x
  3. Step 3: Cross multiply
    275,588.20x = 413,382.30 × 256,925.80
  4. Step 4: Simplify right side
    275,588.20x = 106,208,578,133.34
  5. Step 5: Solve for x
    x = 106,208,578,133.34/275,588.20
  6. Step 6: Final answer
    x = 385,388.70

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1.5x scale

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.