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Finding the Fourth Proportional to 522,568.30, 783,768.54 and 143,400.48

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Solution

The fourth proportional to 522,568.30, 783,768.54 and 143,400.48 is: 215,077.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,568.30 : 783,768.54 = 143,400.48 : x
  2. Step 2: Convert to fraction form
    522,568.30/783,768.54 = 143,400.48/x
  3. Step 3: Cross multiply
    522,568.30x = 783,768.54 × 143,400.48
  4. Step 4: Simplify right side
    522,568.30x = 112,392,784,844.90
  5. Step 5: Solve for x
    x = 112,392,784,844.90/522,568.30
  6. Step 6: Final answer
    x = 215,077.69

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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.