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Finding the Fourth Proportional to 314,940.80, 472,411.20 and 287,384.60

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Solution

The fourth proportional to 314,940.80, 472,411.20 and 287,384.60 is: 431,076.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,940.80 : 472,411.20 = 287,384.60 : x
  2. Step 2: Convert to fraction form
    314,940.80/472,411.20 = 287,384.60/x
  3. Step 3: Cross multiply
    314,940.80x = 472,411.20 × 287,384.60
  4. Step 4: Simplify right side
    314,940.80x = 135,763,703,747.52
  5. Step 5: Solve for x
    x = 135,763,703,747.52/314,940.80
  6. Step 6: Final answer
    x = 431,076.90

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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.