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Finding the Fourth Proportional to 497,727.73, 686,648.10 and 316,342.54

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Solution

The fourth proportional to 497,727.73, 686,648.10 and 316,342.54 is: 436,415.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,727.73 : 686,648.10 = 316,342.54 : x
  2. Step 2: Convert to fraction form
    497,727.73/686,648.10 = 316,342.54/x
  3. Step 3: Cross multiply
    497,727.73x = 686,648.10 × 316,342.54
  4. Step 4: Simplify right side
    497,727.73x = 217,216,004,040.17
  5. Step 5: Solve for x
    x = 217,216,004,040.17/497,727.73
  6. Step 6: Final answer
    x = 436,415.31

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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.