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Finding the Fourth Proportional to 498,520.77, 687,919.80 and 294,533

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Solution

The fourth proportional to 498,520.77, 687,919.80 and 294,533 is: 406,432.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,520.77 : 687,919.80 = 294,533 : x
  2. Step 2: Convert to fraction form
    498,520.77/687,919.80 = 294,533/x
  3. Step 3: Cross multiply
    498,520.77x = 687,919.80 × 294,533
  4. Step 4: Simplify right side
    498,520.77x = 202,615,082,453.40
  5. Step 5: Solve for x
    x = 202,615,082,453.40/498,520.77
  6. Step 6: Final answer
    x = 406,432.58

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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.