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Finding the Fourth Proportional to 474,647.40, 655,008.41 and 256,851.30

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Solution

The fourth proportional to 474,647.40, 655,008.41 and 256,851.30 is: 354,452.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,647.40 : 655,008.41 = 256,851.30 : x
  2. Step 2: Convert to fraction form
    474,647.40/655,008.41 = 256,851.30/x
  3. Step 3: Cross multiply
    474,647.40x = 655,008.41 × 256,851.30
  4. Step 4: Simplify right side
    474,647.40x = 168,239,760,335.18
  5. Step 5: Solve for x
    x = 168,239,760,335.18/474,647.40
  6. Step 6: Final answer
    x = 354,452.08

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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.