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Finding the Fourth Proportional to 375,411.02, 518,068.05 and 205,645.82

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Solution

The fourth proportional to 375,411.02, 518,068.05 and 205,645.82 is: 283,791.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,411.02 : 518,068.05 = 205,645.82 : x
  2. Step 2: Convert to fraction form
    375,411.02/518,068.05 = 205,645.82/x
  3. Step 3: Cross multiply
    375,411.02x = 518,068.05 × 205,645.82
  4. Step 4: Simplify right side
    375,411.02x = 106,538,528,958.05
  5. Step 5: Solve for x
    x = 106,538,528,958.05/375,411.02
  6. Step 6: Final answer
    x = 283,791.69

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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.