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Finding the Fourth Proportional to 472,940.29, 709,511.78 and 135,977.95

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Solution

The fourth proportional to 472,940.29, 709,511.78 and 135,977.95 is: 203,996.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,940.29 : 709,511.78 = 135,977.95 : x
  2. Step 2: Convert to fraction form
    472,940.29/709,511.78 = 135,977.95/x
  3. Step 3: Cross multiply
    472,940.29x = 709,511.78 × 135,977.95
  4. Step 4: Simplify right side
    472,940.29x = 96,477,957,345.25
  5. Step 5: Solve for x
    x = 96,477,957,345.25/472,940.29
  6. Step 6: Final answer
    x = 203,996.06

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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.