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Finding the Fourth Proportional to 821,320.70, 1,231,981.05 and 821,320.70

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Solution

The fourth proportional to 821,320.70, 1,231,981.05 and 821,320.70 is: 1,231,981.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,320.70 : 1,231,981.05 = 821,320.70 : x
  2. Step 2: Convert to fraction form
    821,320.70/1,231,981.05 = 821,320.70/x
  3. Step 3: Cross multiply
    821,320.70x = 1,231,981.05 × 821,320.70
  4. Step 4: Simplify right side
    821,320.70x = 1,011,851,538,372.74
  5. Step 5: Solve for x
    x = 1,011,851,538,372.74/821,320.70
  6. Step 6: Final answer
    x = 1,231,981.05

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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.