Home / 309,710.32-464,734.74-120,178.12

Finding the Fourth Proportional to 309,710.32, 464,734.74 and 120,178.12

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Solution

The fourth proportional to 309,710.32, 464,734.74 and 120,178.12 is: 180,332.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,710.32 : 464,734.74 = 120,178.12 : x
  2. Step 2: Convert to fraction form
    309,710.32/464,734.74 = 120,178.12/x
  3. Step 3: Cross multiply
    309,710.32x = 464,734.74 × 120,178.12
  4. Step 4: Simplify right side
    309,710.32x = 55,850,947,351.89
  5. Step 5: Solve for x
    x = 55,850,947,351.89/309,710.32
  6. Step 6: Final answer
    x = 180,332.86

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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.