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Finding the Fourth Proportional to 285,886.71, 394,513.62 and 158,574.15

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Solution

The fourth proportional to 285,886.71, 394,513.62 and 158,574.15 is: 218,826.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,886.71 : 394,513.62 = 158,574.15 : x
  2. Step 2: Convert to fraction form
    285,886.71/394,513.62 = 158,574.15/x
  3. Step 3: Cross multiply
    285,886.71x = 394,513.62 × 158,574.15
  4. Step 4: Simplify right side
    285,886.71x = 62,559,661,954.92
  5. Step 5: Solve for x
    x = 62,559,661,954.92/285,886.71
  6. Step 6: Final answer
    x = 218,826.76

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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.