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Finding the Fourth Proportional to 447,945.60, 618,141.60 and 278,176.08

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Solution

The fourth proportional to 447,945.60, 618,141.60 and 278,176.08 is: 383,868.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,945.60 : 618,141.60 = 278,176.08 : x
  2. Step 2: Convert to fraction form
    447,945.60/618,141.60 = 278,176.08/x
  3. Step 3: Cross multiply
    447,945.60x = 618,141.60 × 278,176.08
  4. Step 4: Simplify right side
    447,945.60x = 171,952,207,172.93
  5. Step 5: Solve for x
    x = 171,952,207,172.93/447,945.60
  6. Step 6: Final answer
    x = 383,868.50

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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.