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Finding the Fourth Proportional to 409,325.06, 614,200.80 and 309,455.76

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Solution

The fourth proportional to 409,325.06, 614,200.80 and 309,455.76 is: 464,344.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,325.06 : 614,200.80 = 309,455.76 : x
  2. Step 2: Convert to fraction form
    409,325.06/614,200.80 = 309,455.76/x
  3. Step 3: Cross multiply
    409,325.06x = 614,200.80 × 309,455.76
  4. Step 4: Simplify right side
    409,325.06x = 190,067,975,356.61
  5. Step 5: Solve for x
    x = 190,067,975,356.61/409,325.06
  6. Step 6: Final answer
    x = 464,344.83

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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.