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Finding the Fourth Proportional to 208,358.80, 312,341.36 and 189,266.29

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Solution

The fourth proportional to 208,358.80, 312,341.36 and 189,266.29 is: 283,720.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,358.80 : 312,341.36 = 189,266.29 : x
  2. Step 2: Convert to fraction form
    208,358.80/312,341.36 = 189,266.29/x
  3. Step 3: Cross multiply
    208,358.80x = 312,341.36 × 189,266.29
  4. Step 4: Simplify right side
    208,358.80x = 59,115,689,474.42
  5. Step 5: Solve for x
    x = 59,115,689,474.42/208,358.80
  6. Step 6: Final answer
    x = 283,720.63

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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.