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Finding the Fourth Proportional to 490,123,205.40, 687,894,356.40 and 490,123,205.40

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Solution

The fourth proportional to 490,123,205.40, 687,894,356.40 and 490,123,205.40 is: 687,894,356.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,123,205.40 : 687,894,356.40 = 490,123,205.40 : x
  2. Step 2: Convert to fraction form
    490,123,205.40/687,894,356.40 = 490,123,205.40/x
  3. Step 3: Cross multiply
    490,123,205.40x = 687,894,356.40 × 490,123,205.40
  4. Step 4: Simplify right side
    490,123,205.40x = 337,152,986,935,337,984
  5. Step 5: Solve for x
    x = 337,152,986,935,337,984/490,123,205.40
  6. Step 6: Final answer
    x = 687,894,356.40

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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.