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Finding the Fourth Proportional to 821,136, 1,238,270.34 and 809,908.32

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Solution

The fourth proportional to 821,136, 1,238,270.34 and 809,908.32 is: 1,221,339.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,136 : 1,238,270.34 = 809,908.32 : x
  2. Step 2: Convert to fraction form
    821,136/1,238,270.34 = 809,908.32/x
  3. Step 3: Cross multiply
    821,136x = 1,238,270.34 × 809,908.32
  4. Step 4: Simplify right side
    821,136x = 1,002,885,450,775.23
  5. Step 5: Solve for x
    x = 1,002,885,450,775.23/821,136
  6. Step 6: Final answer
    x = 1,221,339.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.