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Finding the Fourth Proportional to 402,964,342.80, 604,595,813.40 and 388,034,422.80

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Solution

The fourth proportional to 402,964,342.80, 604,595,813.40 and 388,034,422.80 is: 582,195,401.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,964,342.80 : 604,595,813.40 = 388,034,422.80 : x
  2. Step 2: Convert to fraction form
    402,964,342.80/604,595,813.40 = 388,034,422.80/x
  3. Step 3: Cross multiply
    402,964,342.80x = 604,595,813.40 × 388,034,422.80
  4. Step 4: Simplify right side
    402,964,342.80x = 234,603,987,479,965,504
  5. Step 5: Solve for x
    x = 234,603,987,479,965,504/402,964,342.80
  6. Step 6: Final answer
    x = 582,195,401.83

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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.