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Finding the Fourth Proportional to 363,795.92, 545,690.04 and 142,178

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Solution

The fourth proportional to 363,795.92, 545,690.04 and 142,178 is: 213,265.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,795.92 : 545,690.04 = 142,178 : x
  2. Step 2: Convert to fraction form
    363,795.92/545,690.04 = 142,178/x
  3. Step 3: Cross multiply
    363,795.92x = 545,690.04 × 142,178
  4. Step 4: Simplify right side
    363,795.92x = 77,585,118,507.12
  5. Step 5: Solve for x
    x = 77,585,118,507.12/363,795.92
  6. Step 6: Final answer
    x = 213,265.50

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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.