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Finding the Fourth Proportional to 376,155.98, 519,104.80 and 206,390.06

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Solution

The fourth proportional to 376,155.98, 519,104.80 and 206,390.06 is: 284,823.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,155.98 : 519,104.80 = 206,390.06 : x
  2. Step 2: Convert to fraction form
    376,155.98/519,104.80 = 206,390.06/x
  3. Step 3: Cross multiply
    376,155.98x = 519,104.80 × 206,390.06
  4. Step 4: Simplify right side
    376,155.98x = 107,138,070,818.29
  5. Step 5: Solve for x
    x = 107,138,070,818.29/376,155.98
  6. Step 6: Final answer
    x = 284,823.52

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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.