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Finding the Fourth Proportional to 498,367.04, 687,835.68 and 297,176

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Solution

The fourth proportional to 498,367.04, 687,835.68 and 297,176 is: 410,156.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,367.04 : 687,835.68 = 297,176 : x
  2. Step 2: Convert to fraction form
    498,367.04/687,835.68 = 297,176/x
  3. Step 3: Cross multiply
    498,367.04x = 687,835.68 × 297,176
  4. Step 4: Simplify right side
    498,367.04x = 204,408,256,039.68
  5. Step 5: Solve for x
    x = 204,408,256,039.68/498,367.04
  6. Step 6: Final answer
    x = 410,156.05

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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.