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Finding the Fourth Proportional to 796,370, 1,098,990.60 and 438,674

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Solution

The fourth proportional to 796,370, 1,098,990.60 and 438,674 is: 605,370.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,370 : 1,098,990.60 = 438,674 : x
  2. Step 2: Convert to fraction form
    796,370/1,098,990.60 = 438,674/x
  3. Step 3: Cross multiply
    796,370x = 1,098,990.60 × 438,674
  4. Step 4: Simplify right side
    796,370x = 482,098,602,464.40
  5. Step 5: Solve for x
    x = 482,098,602,464.40/796,370
  6. Step 6: Final answer
    x = 605,370.12

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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.