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Finding the Fourth Proportional to 341,895.40, 512,937.90 and 142,309.80

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Solution

The fourth proportional to 341,895.40, 512,937.90 and 142,309.80 is: 213,504.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,895.40 : 512,937.90 = 142,309.80 : x
  2. Step 2: Convert to fraction form
    341,895.40/512,937.90 = 142,309.80/x
  3. Step 3: Cross multiply
    341,895.40x = 512,937.90 × 142,309.80
  4. Step 4: Simplify right side
    341,895.40x = 72,996,089,961.42
  5. Step 5: Solve for x
    x = 72,996,089,961.42/341,895.40
  6. Step 6: Final answer
    x = 213,504.16

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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.