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Finding the Fourth Proportional to 477,940.59, 659,222.09 and 314,545.05

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Solution

The fourth proportional to 477,940.59, 659,222.09 and 314,545.05 is: 433,851.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,940.59 : 659,222.09 = 314,545.05 : x
  2. Step 2: Convert to fraction form
    477,940.59/659,222.09 = 314,545.05/x
  3. Step 3: Cross multiply
    477,940.59x = 659,222.09 × 314,545.05
  4. Step 4: Simplify right side
    477,940.59x = 207,355,043,687.43
  5. Step 5: Solve for x
    x = 207,355,043,687.43/477,940.59
  6. Step 6: Final answer
    x = 433,851.09

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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.