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Finding the Fourth Proportional to 506,807,419.50, 699,394,238.91 and 275,020,411.50

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Solution

The fourth proportional to 506,807,419.50, 699,394,238.91 and 275,020,411.50 is: 379,528,167.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,807,419.50 : 699,394,238.91 = 275,020,411.50 : x
  2. Step 2: Convert to fraction form
    506,807,419.50/699,394,238.91 = 275,020,411.50/x
  3. Step 3: Cross multiply
    506,807,419.50x = 699,394,238.91 × 275,020,411.50
  4. Step 4: Simplify right side
    506,807,419.50x = 192,347,691,385,757,504
  5. Step 5: Solve for x
    x = 192,347,691,385,757,504/506,807,419.50
  6. Step 6: Final answer
    x = 379,528,167.87

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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.