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Finding the Fourth Proportional to 203,416.40, 304,541.40 and 156,371.60

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Solution

The fourth proportional to 203,416.40, 304,541.40 and 156,371.60 is: 234,109.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,416.40 : 304,541.40 = 156,371.60 : x
  2. Step 2: Convert to fraction form
    203,416.40/304,541.40 = 156,371.60/x
  3. Step 3: Cross multiply
    203,416.40x = 304,541.40 × 156,371.60
  4. Step 4: Simplify right side
    203,416.40x = 47,621,625,984.24
  5. Step 5: Solve for x
    x = 47,621,625,984.24/203,416.40
  6. Step 6: Final answer
    x = 234,109.08

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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.