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Finding the Fourth Proportional to 375,372.81, 517,967.12 and 299,085.21

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Solution

The fourth proportional to 375,372.81, 517,967.12 and 299,085.21 is: 412,699.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,372.81 : 517,967.12 = 299,085.21 : x
  2. Step 2: Convert to fraction form
    375,372.81/517,967.12 = 299,085.21/x
  3. Step 3: Cross multiply
    375,372.81x = 517,967.12 × 299,085.21
  4. Step 4: Simplify right side
    375,372.81x = 154,916,305,606.01
  5. Step 5: Solve for x
    x = 154,916,305,606.01/375,372.81
  6. Step 6: Final answer
    x = 412,699.86

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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.