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Finding the Fourth Proportional to 357,229.87, 535,709.84 and 143,925.48

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Solution

The fourth proportional to 357,229.87, 535,709.84 and 143,925.48 is: 215,833.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,229.87 : 535,709.84 = 143,925.48 : x
  2. Step 2: Convert to fraction form
    357,229.87/535,709.84 = 143,925.48/x
  3. Step 3: Cross multiply
    357,229.87x = 535,709.84 × 143,925.48
  4. Step 4: Simplify right side
    357,229.87x = 77,102,295,143.10
  5. Step 5: Solve for x
    x = 77,102,295,143.10/357,229.87
  6. Step 6: Final answer
    x = 215,833.84

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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.