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Finding the Fourth Proportional to 377,686.40, 565,217.40 and 259,588.40

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Solution

The fourth proportional to 377,686.40, 565,217.40 and 259,588.40 is: 388,480.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,686.40 : 565,217.40 = 259,588.40 : x
  2. Step 2: Convert to fraction form
    377,686.40/565,217.40 = 259,588.40/x
  3. Step 3: Cross multiply
    377,686.40x = 565,217.40 × 259,588.40
  4. Step 4: Simplify right side
    377,686.40x = 146,723,880,518.16
  5. Step 5: Solve for x
    x = 146,723,880,518.16/377,686.40
  6. Step 6: Final answer
    x = 388,480.71

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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.