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Finding the Fourth Proportional to 375,429.66, 518,094.75 and 205,663.78

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Solution

The fourth proportional to 375,429.66, 518,094.75 and 205,663.78 is: 283,817.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,429.66 : 518,094.75 = 205,663.78 : x
  2. Step 2: Convert to fraction form
    375,429.66/518,094.75 = 205,663.78/x
  3. Step 3: Cross multiply
    375,429.66x = 518,094.75 × 205,663.78
  4. Step 4: Simplify right side
    375,429.66x = 106,553,324,683.16
  5. Step 5: Solve for x
    x = 106,553,324,683.16/375,429.66
  6. Step 6: Final answer
    x = 283,817.01

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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.