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Finding the Fourth Proportional to 376,970.14, 520,204.98 and 207,202.78

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Solution

The fourth proportional to 376,970.14, 520,204.98 and 207,202.78 is: 285,932.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,970.14 : 520,204.98 = 207,202.78 : x
  2. Step 2: Convert to fraction form
    376,970.14/520,204.98 = 207,202.78/x
  3. Step 3: Cross multiply
    376,970.14x = 520,204.98 × 207,202.78
  4. Step 4: Simplify right side
    376,970.14x = 107,787,918,025.84
  5. Step 5: Solve for x
    x = 107,787,918,025.84/376,970.14
  6. Step 6: Final answer
    x = 285,932.24

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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.