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Finding the Fourth Proportional to 360,866.34, 540,942.30 and 170,991

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Solution

The fourth proportional to 360,866.34, 540,942.30 and 170,991 is: 256,317.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,866.34 : 540,942.30 = 170,991 : x
  2. Step 2: Convert to fraction form
    360,866.34/540,942.30 = 170,991/x
  3. Step 3: Cross multiply
    360,866.34x = 540,942.30 × 170,991
  4. Step 4: Simplify right side
    360,866.34x = 92,496,264,819.30
  5. Step 5: Solve for x
    x = 92,496,264,819.30/360,866.34
  6. Step 6: Final answer
    x = 256,317.24

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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.