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Finding the Fourth Proportional to 284,289,958.40, 398,912,934.40 and 284,289,958.40

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Solution

The fourth proportional to 284,289,958.40, 398,912,934.40 and 284,289,958.40 is: 398,912,934.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,289,958.40 : 398,912,934.40 = 284,289,958.40 : x
  2. Step 2: Convert to fraction form
    284,289,958.40/398,912,934.40 = 284,289,958.40/x
  3. Step 3: Cross multiply
    284,289,958.40x = 398,912,934.40 × 284,289,958.40
  4. Step 4: Simplify right side
    284,289,958.40x = 113,406,941,525,797,920
  5. Step 5: Solve for x
    x = 113,406,941,525,797,920/284,289,958.40
  6. Step 6: Final answer
    x = 398,912,934.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.