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Finding the Fourth Proportional to 408,541,315.50, 563,960,977.02 and 274,656,879.90

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Solution

The fourth proportional to 408,541,315.50, 563,960,977.02 and 274,656,879.90 is: 379,143,446.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,541,315.50 : 563,960,977.02 = 274,656,879.90 : x
  2. Step 2: Convert to fraction form
    408,541,315.50/563,960,977.02 = 274,656,879.90/x
  3. Step 3: Cross multiply
    408,541,315.50x = 563,960,977.02 × 274,656,879.90
  4. Step 4: Simplify right side
    408,541,315.50x = 154,895,762,333,668,768
  5. Step 5: Solve for x
    x = 154,895,762,333,668,768/408,541,315.50
  6. Step 6: Final answer
    x = 379,143,446.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.