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Finding the Fourth Proportional to 478,391.34, 716,711.85 and 225,880.38

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Solution

The fourth proportional to 478,391.34, 716,711.85 and 225,880.38 is: 338,407.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,391.34 : 716,711.85 = 225,880.38 : x
  2. Step 2: Convert to fraction form
    478,391.34/716,711.85 = 225,880.38/x
  3. Step 3: Cross multiply
    478,391.34x = 716,711.85 × 225,880.38
  4. Step 4: Simplify right side
    478,391.34x = 161,891,145,028.50
  5. Step 5: Solve for x
    x = 161,891,145,028.50/478,391.34
  6. Step 6: Final answer
    x = 338,407.35

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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.