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Finding the Fourth Proportional to 413,719.80, 621,162.90 and 256,255.80

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Solution

The fourth proportional to 413,719.80, 621,162.90 and 256,255.80 is: 384,744.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,719.80 : 621,162.90 = 256,255.80 : x
  2. Step 2: Convert to fraction form
    413,719.80/621,162.90 = 256,255.80/x
  3. Step 3: Cross multiply
    413,719.80x = 621,162.90 × 256,255.80
  4. Step 4: Simplify right side
    413,719.80x = 159,176,595,869.82
  5. Step 5: Solve for x
    x = 159,176,595,869.82/413,719.80
  6. Step 6: Final answer
    x = 384,744.93

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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.