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Finding the Fourth Proportional to 305,870.99, 421,931.94 and 284,221.58

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Solution

The fourth proportional to 305,870.99, 421,931.94 and 284,221.58 is: 392,067.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,870.99 : 421,931.94 = 284,221.58 : x
  2. Step 2: Convert to fraction form
    305,870.99/421,931.94 = 284,221.58/x
  3. Step 3: Cross multiply
    305,870.99x = 421,931.94 × 284,221.58
  4. Step 4: Simplify right side
    305,870.99x = 119,922,162,639.27
  5. Step 5: Solve for x
    x = 119,922,162,639.27/305,870.99
  6. Step 6: Final answer
    x = 392,067.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.