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Finding the Fourth Proportional to 375,438.69, 518,118.30 and 205,672.77

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Solution

The fourth proportional to 375,438.69, 518,118.30 and 205,672.77 is: 283,835.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,438.69 : 518,118.30 = 205,672.77 : x
  2. Step 2: Convert to fraction form
    375,438.69/518,118.30 = 205,672.77/x
  3. Step 3: Cross multiply
    375,438.69x = 518,118.30 × 205,672.77
  4. Step 4: Simplify right side
    375,438.69x = 106,562,825,948.69
  5. Step 5: Solve for x
    x = 106,562,825,948.69/375,438.69
  6. Step 6: Final answer
    x = 283,835.49

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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.