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Finding the Fourth Proportional to 375,677.28, 518,434.60 and 205,907.76

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Solution

The fourth proportional to 375,677.28, 518,434.60 and 205,907.76 is: 284,152.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,677.28 : 518,434.60 = 205,907.76 : x
  2. Step 2: Convert to fraction form
    375,677.28/518,434.60 = 205,907.76/x
  3. Step 3: Cross multiply
    375,677.28x = 518,434.60 × 205,907.76
  4. Step 4: Simplify right side
    375,677.28x = 106,749,707,192.50
  5. Step 5: Solve for x
    x = 106,749,707,192.50/375,677.28
  6. Step 6: Final answer
    x = 284,152.68

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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.