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Finding the Fourth Proportional to 286,167.47, 428,970.20 and 159,868.22

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Solution

The fourth proportional to 286,167.47, 428,970.20 and 159,868.22 is: 239,645.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,167.47 : 428,970.20 = 159,868.22 : x
  2. Step 2: Convert to fraction form
    286,167.47/428,970.20 = 159,868.22/x
  3. Step 3: Cross multiply
    286,167.47x = 428,970.20 × 159,868.22
  4. Step 4: Simplify right side
    286,167.47x = 68,578,699,362.85
  5. Step 5: Solve for x
    x = 68,578,699,362.85/286,167.47
  6. Step 6: Final answer
    x = 239,645.34

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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.