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Finding the Fourth Proportional to 377,089.96, 520,370.84 and 207,322.78

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Solution

The fourth proportional to 377,089.96, 520,370.84 and 207,322.78 is: 286,098.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,089.96 : 520,370.84 = 207,322.78 : x
  2. Step 2: Convert to fraction form
    377,089.96/520,370.84 = 207,322.78/x
  3. Step 3: Cross multiply
    377,089.96x = 520,370.84 × 207,322.78
  4. Step 4: Simplify right side
    377,089.96x = 107,884,729,179.74
  5. Step 5: Solve for x
    x = 107,884,729,179.74/377,089.96
  6. Step 6: Final answer
    x = 286,098.12

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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.