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Finding the Fourth Proportional to 378,506.67, 567,701.87 and 138,564.02

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Solution

The fourth proportional to 378,506.67, 567,701.87 and 138,564.02 is: 207,824.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,506.67 : 567,701.87 = 138,564.02 : x
  2. Step 2: Convert to fraction form
    378,506.67/567,701.87 = 138,564.02/x
  3. Step 3: Cross multiply
    378,506.67x = 567,701.87 × 138,564.02
  4. Step 4: Simplify right side
    378,506.67x = 78,663,049,737.39
  5. Step 5: Solve for x
    x = 78,663,049,737.39/378,506.67
  6. Step 6: Final answer
    x = 207,824.74

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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.