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Finding the Fourth Proportional to 322,464.10, 483,696.15 and 85,830.70

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Solution

The fourth proportional to 322,464.10, 483,696.15 and 85,830.70 is: 128,746.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,464.10 : 483,696.15 = 85,830.70 : x
  2. Step 2: Convert to fraction form
    322,464.10/483,696.15 = 85,830.70/x
  3. Step 3: Cross multiply
    322,464.10x = 483,696.15 × 85,830.70
  4. Step 4: Simplify right side
    322,464.10x = 41,515,979,141.81
  5. Step 5: Solve for x
    x = 41,515,979,141.81/322,464.10
  6. Step 6: Final answer
    x = 128,746.05

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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.