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Finding the Fourth Proportional to 293,282,694.40, 440,207,476.80 and 178,491,438.40

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Solution

The fourth proportional to 293,282,694.40, 440,207,476.80 and 178,491,438.40 is: 267,909,655.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,282,694.40 : 440,207,476.80 = 178,491,438.40 : x
  2. Step 2: Convert to fraction form
    293,282,694.40/440,207,476.80 = 178,491,438.40/x
  3. Step 3: Cross multiply
    293,282,694.40x = 440,207,476.80 × 178,491,438.40
  4. Step 4: Simplify right side
    293,282,694.40x = 78,573,265,728,466,640
  5. Step 5: Solve for x
    x = 78,573,265,728,466,640/293,282,694.40
  6. Step 6: Final answer
    x = 267,909,655.87

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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.