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Finding the Fourth Proportional to 379,160.40, 568,303.14 and 142,352.04

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Solution

The fourth proportional to 379,160.40, 568,303.14 and 142,352.04 is: 213,363.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,160.40 : 568,303.14 = 142,352.04 : x
  2. Step 2: Convert to fraction form
    379,160.40/568,303.14 = 142,352.04/x
  3. Step 3: Cross multiply
    379,160.40x = 568,303.14 × 142,352.04
  4. Step 4: Simplify right side
    379,160.40x = 80,899,111,317.41
  5. Step 5: Solve for x
    x = 80,899,111,317.41/379,160.40
  6. Step 6: Final answer
    x = 213,363.82

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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.