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Finding the Fourth Proportional to 798,128, 1,101,418.08 and 440,432

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Solution

The fourth proportional to 798,128, 1,101,418.08 and 440,432 is: 607,796.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,128 : 1,101,418.08 = 440,432 : x
  2. Step 2: Convert to fraction form
    798,128/1,101,418.08 = 440,432/x
  3. Step 3: Cross multiply
    798,128x = 1,101,418.08 × 440,432
  4. Step 4: Simplify right side
    798,128x = 485,099,767,810.56
  5. Step 5: Solve for x
    x = 485,099,767,810.56/798,128
  6. Step 6: Final answer
    x = 607,796.95

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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.