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Finding the Fourth Proportional to 375,663.96, 518,417.82 and 205,900.92

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Solution

The fourth proportional to 375,663.96, 518,417.82 and 205,900.92 is: 284,144.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,663.96 : 518,417.82 = 205,900.92 : x
  2. Step 2: Convert to fraction form
    375,663.96/518,417.82 = 205,900.92/x
  3. Step 3: Cross multiply
    375,663.96x = 518,417.82 × 205,900.92
  4. Step 4: Simplify right side
    375,663.96x = 106,742,706,082.39
  5. Step 5: Solve for x
    x = 106,742,706,082.39/375,663.96
  6. Step 6: Final answer
    x = 284,144.12

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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.