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Finding the Fourth Proportional to 377,866.95, 521,452.93 and 208,097.43

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Solution

The fourth proportional to 377,866.95, 521,452.93 and 208,097.43 is: 287,172.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,866.95 : 521,452.93 = 208,097.43 : x
  2. Step 2: Convert to fraction form
    377,866.95/521,452.93 = 208,097.43/x
  3. Step 3: Cross multiply
    377,866.95x = 521,452.93 × 208,097.43
  4. Step 4: Simplify right side
    377,866.95x = 108,513,014,598.97
  5. Step 5: Solve for x
    x = 108,513,014,598.97/377,866.95
  6. Step 6: Final answer
    x = 287,172.55

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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.