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Finding the Fourth Proportional to 375,581.60, 518,298.19 and 203,496.20

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Solution

The fourth proportional to 375,581.60, 518,298.19 and 203,496.20 is: 280,822.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,581.60 : 518,298.19 = 203,496.20 : x
  2. Step 2: Convert to fraction form
    375,581.60/518,298.19 = 203,496.20/x
  3. Step 3: Cross multiply
    375,581.60x = 518,298.19 × 203,496.20
  4. Step 4: Simplify right side
    375,581.60x = 105,471,709,031.65
  5. Step 5: Solve for x
    x = 105,471,709,031.65/375,581.60
  6. Step 6: Final answer
    x = 280,822.36

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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.