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Finding the Fourth Proportional to 498,359.04, 687,824.64 and 297,168

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Solution

The fourth proportional to 498,359.04, 687,824.64 and 297,168 is: 410,145.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,359.04 : 687,824.64 = 297,168 : x
  2. Step 2: Convert to fraction form
    498,359.04/687,824.64 = 297,168/x
  3. Step 3: Cross multiply
    498,359.04x = 687,824.64 × 297,168
  4. Step 4: Simplify right side
    498,359.04x = 204,399,472,619.52
  5. Step 5: Solve for x
    x = 204,399,472,619.52/498,359.04
  6. Step 6: Final answer
    x = 410,145.01

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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.