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Finding the Fourth Proportional to 701,330, 967,835.40 and 399,524

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Solution

The fourth proportional to 701,330, 967,835.40 and 399,524 is: 551,343.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,330 : 967,835.40 = 399,524 : x
  2. Step 2: Convert to fraction form
    701,330/967,835.40 = 399,524/x
  3. Step 3: Cross multiply
    701,330x = 967,835.40 × 399,524
  4. Step 4: Simplify right side
    701,330x = 386,673,470,349.60
  5. Step 5: Solve for x
    x = 386,673,470,349.60/701,330
  6. Step 6: Final answer
    x = 551,343.12

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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.