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Finding the Fourth Proportional to 317,311.95, 475,960.11 and 77,427.52

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Solution

The fourth proportional to 317,311.95, 475,960.11 and 77,427.52 is: 116,139.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,311.95 : 475,960.11 = 77,427.52 : x
  2. Step 2: Convert to fraction form
    317,311.95/475,960.11 = 77,427.52/x
  3. Step 3: Cross multiply
    317,311.95x = 475,960.11 × 77,427.52
  4. Step 4: Simplify right side
    317,311.95x = 36,852,410,936.23
  5. Step 5: Solve for x
    x = 36,852,410,936.23/317,311.95
  6. Step 6: Final answer
    x = 116,139.37

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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.