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Finding the Fourth Proportional to 377,404.66, 520,806.55 and 205,318.23

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Solution

The fourth proportional to 377,404.66, 520,806.55 and 205,318.23 is: 283,332.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,404.66 : 520,806.55 = 205,318.23 : x
  2. Step 2: Convert to fraction form
    377,404.66/520,806.55 = 205,318.23/x
  3. Step 3: Cross multiply
    377,404.66x = 520,806.55 × 205,318.23
  4. Step 4: Simplify right side
    377,404.66x = 106,931,079,018.41
  5. Step 5: Solve for x
    x = 106,931,079,018.41/377,404.66
  6. Step 6: Final answer
    x = 283,332.69

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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.