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Finding the Fourth Proportional to 375,368.91, 518,015.82 and 205,592.10

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Solution

The fourth proportional to 375,368.91, 518,015.82 and 205,592.10 is: 283,720.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,368.91 : 518,015.82 = 205,592.10 : x
  2. Step 2: Convert to fraction form
    375,368.91/518,015.82 = 205,592.10/x
  3. Step 3: Cross multiply
    375,368.91x = 518,015.82 × 205,592.10
  4. Step 4: Simplify right side
    375,368.91x = 106,499,960,267.02
  5. Step 5: Solve for x
    x = 106,499,960,267.02/375,368.91
  6. Step 6: Final answer
    x = 283,720.78

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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.