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Finding the Fourth Proportional to 203,419.40, 304,545.90 and 156,374.60

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Solution

The fourth proportional to 203,419.40, 304,545.90 and 156,374.60 is: 234,113.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,419.40 : 304,545.90 = 156,374.60 : x
  2. Step 2: Convert to fraction form
    203,419.40/304,545.90 = 156,374.60/x
  3. Step 3: Cross multiply
    203,419.40x = 304,545.90 × 156,374.60
  4. Step 4: Simplify right side
    203,419.40x = 47,623,243,294.14
  5. Step 5: Solve for x
    x = 47,623,243,294.14/203,419.40
  6. Step 6: Final answer
    x = 234,113.58

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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.