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Finding the Fourth Proportional to 410,276, 566,181.60 and 231,428

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Solution

The fourth proportional to 410,276, 566,181.60 and 231,428 is: 319,371.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,276 : 566,181.60 = 231,428 : x
  2. Step 2: Convert to fraction form
    410,276/566,181.60 = 231,428/x
  3. Step 3: Cross multiply
    410,276x = 566,181.60 × 231,428
  4. Step 4: Simplify right side
    410,276x = 131,030,275,324.80
  5. Step 5: Solve for x
    x = 131,030,275,324.80/410,276
  6. Step 6: Final answer
    x = 319,371.05

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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.