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Finding the Fourth Proportional to 497,908.98, 687,011.36 and 291,137.58

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Solution

The fourth proportional to 497,908.98, 687,011.36 and 291,137.58 is: 401,709.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,908.98 : 687,011.36 = 291,137.58 : x
  2. Step 2: Convert to fraction form
    497,908.98/687,011.36 = 291,137.58/x
  3. Step 3: Cross multiply
    497,908.98x = 687,011.36 × 291,137.58
  4. Step 4: Simplify right side
    497,908.98x = 200,014,823,327.22
  5. Step 5: Solve for x
    x = 200,014,823,327.22/497,908.98
  6. Step 6: Final answer
    x = 401,709.61

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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.