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Finding the Fourth Proportional to 477,020.80, 714,916.80 and 365,660.80

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Solution

The fourth proportional to 477,020.80, 714,916.80 and 365,660.80 is: 548,020.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,020.80 : 714,916.80 = 365,660.80 : x
  2. Step 2: Convert to fraction form
    477,020.80/714,916.80 = 365,660.80/x
  3. Step 3: Cross multiply
    477,020.80x = 714,916.80 × 365,660.80
  4. Step 4: Simplify right side
    477,020.80x = 261,417,049,021.44
  5. Step 5: Solve for x
    x = 261,417,049,021.44/477,020.80
  6. Step 6: Final answer
    x = 548,020.23

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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.