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Finding the Fourth Proportional to 377,447.70, 566,171.55 and 209,486.10

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Solution

The fourth proportional to 377,447.70, 566,171.55 and 209,486.10 is: 314,229.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,447.70 : 566,171.55 = 209,486.10 : x
  2. Step 2: Convert to fraction form
    377,447.70/566,171.55 = 209,486.10/x
  3. Step 3: Cross multiply
    377,447.70x = 566,171.55 × 209,486.10
  4. Step 4: Simplify right side
    377,447.70x = 118,605,069,940.46
  5. Step 5: Solve for x
    x = 118,605,069,940.46/377,447.70
  6. Step 6: Final answer
    x = 314,229.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.