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Finding the Fourth Proportional to 286,806.09, 395,776.15 and 159,478.95

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Solution

The fourth proportional to 286,806.09, 395,776.15 and 159,478.95 is: 220,071.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,806.09 : 395,776.15 = 159,478.95 : x
  2. Step 2: Convert to fraction form
    286,806.09/395,776.15 = 159,478.95/x
  3. Step 3: Cross multiply
    286,806.09x = 395,776.15 × 159,478.95
  4. Step 4: Simplify right side
    286,806.09x = 63,117,964,438.35
  5. Step 5: Solve for x
    x = 63,117,964,438.35/286,806.09
  6. Step 6: Final answer
    x = 220,071.91

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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.