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Finding the Fourth Proportional to 312,019.20, 468,230.40 and 171,878.40

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Solution

The fourth proportional to 312,019.20, 468,230.40 and 171,878.40 is: 257,928.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,019.20 : 468,230.40 = 171,878.40 : x
  2. Step 2: Convert to fraction form
    312,019.20/468,230.40 = 171,878.40/x
  3. Step 3: Cross multiply
    312,019.20x = 468,230.40 × 171,878.40
  4. Step 4: Simplify right side
    312,019.20x = 80,478,691,983.36
  5. Step 5: Solve for x
    x = 80,478,691,983.36/312,019.20
  6. Step 6: Final answer
    x = 257,928.65

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1.5x scale

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.