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Finding the Fourth Proportional to 377,805.50, 521,371.59 and 208,039.22

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Solution

The fourth proportional to 377,805.50, 521,371.59 and 208,039.22 is: 287,094.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,805.50 : 521,371.59 = 208,039.22 : x
  2. Step 2: Convert to fraction form
    377,805.50/521,371.59 = 208,039.22/x
  3. Step 3: Cross multiply
    377,805.50x = 521,371.59 × 208,039.22
  4. Step 4: Simplify right side
    377,805.50x = 108,465,738,913.76
  5. Step 5: Solve for x
    x = 108,465,738,913.76/377,805.50
  6. Step 6: Final answer
    x = 287,094.12

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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.