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Finding the Fourth Proportional to 377,648.66, 521,166.90 and 205,578.08

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Solution

The fourth proportional to 377,648.66, 521,166.90 and 205,578.08 is: 283,704.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,648.66 : 521,166.90 = 205,578.08 : x
  2. Step 2: Convert to fraction form
    377,648.66/521,166.90 = 205,578.08/x
  3. Step 3: Cross multiply
    377,648.66x = 521,166.90 × 205,578.08
  4. Step 4: Simplify right side
    377,648.66x = 107,140,490,068.43
  5. Step 5: Solve for x
    x = 107,140,490,068.43/377,648.66
  6. Step 6: Final answer
    x = 283,704.15

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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.