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Finding the Fourth Proportional to 538,617.78, 807,947.10 and 201,622.95

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Solution

The fourth proportional to 538,617.78, 807,947.10 and 201,622.95 is: 302,442.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,617.78 : 807,947.10 = 201,622.95 : x
  2. Step 2: Convert to fraction form
    538,617.78/807,947.10 = 201,622.95/x
  3. Step 3: Cross multiply
    538,617.78x = 807,947.10 × 201,622.95
  4. Step 4: Simplify right side
    538,617.78x = 162,900,677,745.95
  5. Step 5: Solve for x
    x = 162,900,677,745.95/538,617.78
  6. Step 6: Final answer
    x = 302,442.07

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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.