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Finding the Fourth Proportional to 341,900.90, 512,946.15 and 142,315.30

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Solution

The fourth proportional to 341,900.90, 512,946.15 and 142,315.30 is: 213,512.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,900.90 : 512,946.15 = 142,315.30 : x
  2. Step 2: Convert to fraction form
    341,900.90/512,946.15 = 142,315.30/x
  3. Step 3: Cross multiply
    341,900.90x = 512,946.15 × 142,315.30
  4. Step 4: Simplify right side
    341,900.90x = 73,000,085,221.10
  5. Step 5: Solve for x
    x = 73,000,085,221.10/341,900.90
  6. Step 6: Final answer
    x = 213,512.41

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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.