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Finding the Fourth Proportional to 286,806.34, 395,776.49 and 159,479.20

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Solution

The fourth proportional to 286,806.34, 395,776.49 and 159,479.20 is: 220,072.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,806.34 : 395,776.49 = 159,479.20 : x
  2. Step 2: Convert to fraction form
    286,806.34/395,776.49 = 159,479.20/x
  3. Step 3: Cross multiply
    286,806.34x = 395,776.49 × 159,479.20
  4. Step 4: Simplify right side
    286,806.34x = 63,118,118,004.01
  5. Step 5: Solve for x
    x = 63,118,118,004.01/286,806.34
  6. Step 6: Final answer
    x = 220,072.26

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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.