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Finding the Fourth Proportional to 820,999.40, 1,132,998.40 and 458,411

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Solution

The fourth proportional to 820,999.40, 1,132,998.40 and 458,411 is: 632,617.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,999.40 : 1,132,998.40 = 458,411 : x
  2. Step 2: Convert to fraction form
    820,999.40/1,132,998.40 = 458,411/x
  3. Step 3: Cross multiply
    820,999.40x = 1,132,998.40 × 458,411
  4. Step 4: Simplify right side
    820,999.40x = 519,378,929,542.40
  5. Step 5: Solve for x
    x = 519,378,929,542.40/820,999.40
  6. Step 6: Final answer
    x = 632,617.92

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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.