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Finding the Fourth Proportional to 762,394, 1,143,558 and 256,921.60

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Solution

The fourth proportional to 762,394, 1,143,558 and 256,921.60 is: 385,371.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,394 : 1,143,558 = 256,921.60 : x
  2. Step 2: Convert to fraction form
    762,394/1,143,558 = 256,921.60/x
  3. Step 3: Cross multiply
    762,394x = 1,143,558 × 256,921.60
  4. Step 4: Simplify right side
    762,394x = 293,804,751,052.80
  5. Step 5: Solve for x
    x = 293,804,751,052.80/762,394
  6. Step 6: Final answer
    x = 385,371.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.