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Finding the Fourth Proportional to 796,368, 1,098,987.84 and 438,672

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Solution

The fourth proportional to 796,368, 1,098,987.84 and 438,672 is: 605,367.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,368 : 1,098,987.84 = 438,672 : x
  2. Step 2: Convert to fraction form
    796,368/1,098,987.84 = 438,672/x
  3. Step 3: Cross multiply
    796,368x = 1,098,987.84 × 438,672
  4. Step 4: Simplify right side
    796,368x = 482,095,193,748.48
  5. Step 5: Solve for x
    x = 482,095,193,748.48/796,368
  6. Step 6: Final answer
    x = 605,367.36

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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.