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Finding the Fourth Proportional to 512,946, 707,844.42 and 298,084.32

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Solution

The fourth proportional to 512,946, 707,844.42 and 298,084.32 is: 411,344.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,946 : 707,844.42 = 298,084.32 : x
  2. Step 2: Convert to fraction form
    512,946/707,844.42 = 298,084.32/x
  3. Step 3: Cross multiply
    512,946x = 707,844.42 × 298,084.32
  4. Step 4: Simplify right side
    512,946x = 210,997,322,601.49
  5. Step 5: Solve for x
    x = 210,997,322,601.49/512,946
  6. Step 6: Final answer
    x = 411,344.12

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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.