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Finding the Fourth Proportional to 377,826.40, 565,427.40 and 259,728.40

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Solution

The fourth proportional to 377,826.40, 565,427.40 and 259,728.40 is: 388,690.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,826.40 : 565,427.40 = 259,728.40 : x
  2. Step 2: Convert to fraction form
    377,826.40/565,427.40 = 259,728.40/x
  3. Step 3: Cross multiply
    377,826.40x = 565,427.40 × 259,728.40
  4. Step 4: Simplify right side
    377,826.40x = 146,857,553,918.16
  5. Step 5: Solve for x
    x = 146,857,553,918.16/377,826.40
  6. Step 6: Final answer
    x = 388,690.56

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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.