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Finding the Fourth Proportional to 356,435.90, 491,862.74 and 203,468.01

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Solution

The fourth proportional to 356,435.90, 491,862.74 and 203,468.01 is: 280,775.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,435.90 : 491,862.74 = 203,468.01 : x
  2. Step 2: Convert to fraction form
    356,435.90/491,862.74 = 203,468.01/x
  3. Step 3: Cross multiply
    356,435.90x = 491,862.74 × 203,468.01
  4. Step 4: Simplify right side
    356,435.90x = 100,078,331,883.61
  5. Step 5: Solve for x
    x = 100,078,331,883.61/356,435.90
  6. Step 6: Final answer
    x = 280,775.12

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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.