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Finding the Fourth Proportional to 820,998.40, 1,132,997.02 and 458,410

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Solution

The fourth proportional to 820,998.40, 1,132,997.02 and 458,410 is: 632,616.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,998.40 : 1,132,997.02 = 458,410 : x
  2. Step 2: Convert to fraction form
    820,998.40/1,132,997.02 = 458,410/x
  3. Step 3: Cross multiply
    820,998.40x = 1,132,997.02 × 458,410
  4. Step 4: Simplify right side
    820,998.40x = 519,377,163,938.20
  5. Step 5: Solve for x
    x = 519,377,163,938.20/820,998.40
  6. Step 6: Final answer
    x = 632,616.54

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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.