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Finding the Fourth Proportional to 378,308.74, 567,551.43 and 128,990.98

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Solution

The fourth proportional to 378,308.74, 567,551.43 and 128,990.98 is: 193,516.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,308.74 : 567,551.43 = 128,990.98 : x
  2. Step 2: Convert to fraction form
    378,308.74/567,551.43 = 128,990.98/x
  3. Step 3: Cross multiply
    378,308.74x = 567,551.43 × 128,990.98
  4. Step 4: Simplify right side
    378,308.74x = 73,209,015,156.10
  5. Step 5: Solve for x
    x = 73,209,015,156.10/378,308.74
  6. Step 6: Final answer
    x = 193,516.58

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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.