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Finding the Fourth Proportional to 375,129.66, 517,678.91 and 205,363.79

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Solution

The fourth proportional to 375,129.66, 517,678.91 and 205,363.79 is: 283,402.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,129.66 : 517,678.91 = 205,363.79 : x
  2. Step 2: Convert to fraction form
    375,129.66/517,678.91 = 205,363.79/x
  3. Step 3: Cross multiply
    375,129.66x = 517,678.91 × 205,363.79
  4. Step 4: Simplify right side
    375,129.66x = 106,312,500,372.27
  5. Step 5: Solve for x
    x = 106,312,500,372.27/375,129.66
  6. Step 6: Final answer
    x = 283,402.01

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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.