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Finding the Fourth Proportional to 304,211.20, 455,918.28 and 146,125.12

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Solution

The fourth proportional to 304,211.20, 455,918.28 and 146,125.12 is: 218,996.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,211.20 : 455,918.28 = 146,125.12 : x
  2. Step 2: Convert to fraction form
    304,211.20/455,918.28 = 146,125.12/x
  3. Step 3: Cross multiply
    304,211.20x = 455,918.28 × 146,125.12
  4. Step 4: Simplify right side
    304,211.20x = 66,621,113,375.19
  5. Step 5: Solve for x
    x = 66,621,113,375.19/304,211.20
  6. Step 6: Final answer
    x = 218,996.25

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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.