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Finding the Fourth Proportional to 498,345.48, 687,695.40 and 294,462

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Solution

The fourth proportional to 498,345.48, 687,695.40 and 294,462 is: 406,344.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,345.48 : 687,695.40 = 294,462 : x
  2. Step 2: Convert to fraction form
    498,345.48/687,695.40 = 294,462/x
  3. Step 3: Cross multiply
    498,345.48x = 687,695.40 × 294,462
  4. Step 4: Simplify right side
    498,345.48x = 202,500,162,874.80
  5. Step 5: Solve for x
    x = 202,500,162,874.80/498,345.48
  6. Step 6: Final answer
    x = 406,344.94

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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.