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Finding the Fourth Proportional to 403,814.20, 605,721.30 and 396,038.20

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Solution

The fourth proportional to 403,814.20, 605,721.30 and 396,038.20 is: 594,057.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,814.20 : 605,721.30 = 396,038.20 : x
  2. Step 2: Convert to fraction form
    403,814.20/605,721.30 = 396,038.20/x
  3. Step 3: Cross multiply
    403,814.20x = 605,721.30 × 396,038.20
  4. Step 4: Simplify right side
    403,814.20x = 239,888,773,353.66
  5. Step 5: Solve for x
    x = 239,888,773,353.66/403,814.20
  6. Step 6: Final answer
    x = 594,057.30

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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.