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Finding the Fourth Proportional to 341,911.40, 512,961.90 and 142,325.80

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Solution

The fourth proportional to 341,911.40, 512,961.90 and 142,325.80 is: 213,528.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,911.40 : 512,961.90 = 142,325.80 : x
  2. Step 2: Convert to fraction form
    341,911.40/512,961.90 = 142,325.80/x
  3. Step 3: Cross multiply
    341,911.40x = 512,961.90 × 142,325.80
  4. Step 4: Simplify right side
    341,911.40x = 73,007,712,787.02
  5. Step 5: Solve for x
    x = 73,007,712,787.02/341,911.40
  6. Step 6: Final answer
    x = 213,528.16

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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.