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Finding the Fourth Proportional to 713,696, 984,900.48 and 395,744

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Solution

The fourth proportional to 713,696, 984,900.48 and 395,744 is: 546,126.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,696 : 984,900.48 = 395,744 : x
  2. Step 2: Convert to fraction form
    713,696/984,900.48 = 395,744/x
  3. Step 3: Cross multiply
    713,696x = 984,900.48 × 395,744
  4. Step 4: Simplify right side
    713,696x = 389,768,455,557.12
  5. Step 5: Solve for x
    x = 389,768,455,557.12/713,696
  6. Step 6: Final answer
    x = 546,126.72

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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.