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Finding the Fourth Proportional to 613,238, 846,281.40 and 344,966

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Solution

The fourth proportional to 613,238, 846,281.40 and 344,966 is: 476,060.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,238 : 846,281.40 = 344,966 : x
  2. Step 2: Convert to fraction form
    613,238/846,281.40 = 344,966/x
  3. Step 3: Cross multiply
    613,238x = 846,281.40 × 344,966
  4. Step 4: Simplify right side
    613,238x = 291,938,309,432.40
  5. Step 5: Solve for x
    x = 291,938,309,432.40/613,238
  6. Step 6: Final answer
    x = 476,060.37

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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.