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Finding the Fourth Proportional to 713,419.80, 984,493.16 and 391,122.84

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Solution

The fourth proportional to 713,419.80, 984,493.16 and 391,122.84 is: 539,735.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,419.80 : 984,493.16 = 391,122.84 : x
  2. Step 2: Convert to fraction form
    713,419.80/984,493.16 = 391,122.84/x
  3. Step 3: Cross multiply
    713,419.80x = 984,493.16 × 391,122.84
  4. Step 4: Simplify right side
    713,419.80x = 385,057,760,699.77
  5. Step 5: Solve for x
    x = 385,057,760,699.77/713,419.80
  6. Step 6: Final answer
    x = 539,735.18

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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.