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Finding the Fourth Proportional to 707,942.04, 976,948.74 and 385,656

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Solution

The fourth proportional to 707,942.04, 976,948.74 and 385,656 is: 532,199.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,942.04 : 976,948.74 = 385,656 : x
  2. Step 2: Convert to fraction form
    707,942.04/976,948.74 = 385,656/x
  3. Step 3: Cross multiply
    707,942.04x = 976,948.74 × 385,656
  4. Step 4: Simplify right side
    707,942.04x = 376,766,143,273.44
  5. Step 5: Solve for x
    x = 376,766,143,273.44/707,942.04
  6. Step 6: Final answer
    x = 532,199.14

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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.