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Finding the Fourth Proportional to 1,343,709, 2,015,770.86 and 502,380.36

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Solution

The fourth proportional to 1,343,709, 2,015,770.86 and 502,380.36 is: 753,648.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343,709 : 2,015,770.86 = 502,380.36 : x
  2. Step 2: Convert to fraction form
    1,343,709/2,015,770.86 = 502,380.36/x
  3. Step 3: Cross multiply
    1,343,709x = 2,015,770.86 × 502,380.36
  4. Step 4: Simplify right side
    1,343,709x = 1,012,683,690,324.31
  5. Step 5: Solve for x
    x = 1,012,683,690,324.31/1,343,709
  6. Step 6: Final answer
    x = 753,648.07

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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.