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Finding the Fourth Proportional to 377,636.97, 521,152.21 and 205,569.10

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Solution

The fourth proportional to 377,636.97, 521,152.21 and 205,569.10 is: 283,692.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,636.97 : 521,152.21 = 205,569.10 : x
  2. Step 2: Convert to fraction form
    377,636.97/521,152.21 = 205,569.10/x
  3. Step 3: Cross multiply
    377,636.97x = 521,152.21 × 205,569.10
  4. Step 4: Simplify right side
    377,636.97x = 107,132,791,681.11
  5. Step 5: Solve for x
    x = 107,132,791,681.11/377,636.97
  6. Step 6: Final answer
    x = 283,692.54

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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.