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Finding the Fourth Proportional to 642,542, 886,727.40 and 356,035.28

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Solution

The fourth proportional to 642,542, 886,727.40 and 356,035.28 is: 491,339.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,542 : 886,727.40 = 356,035.28 : x
  2. Step 2: Convert to fraction form
    642,542/886,727.40 = 356,035.28/x
  3. Step 3: Cross multiply
    642,542x = 886,727.40 × 356,035.28
  4. Step 4: Simplify right side
    642,542x = 315,706,238,142.67
  5. Step 5: Solve for x
    x = 315,706,238,142.67/642,542
  6. Step 6: Final answer
    x = 491,339.46

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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.