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Finding the Fourth Proportional to 340,745.20, 511,117.80 and 334,184.20

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Solution

The fourth proportional to 340,745.20, 511,117.80 and 334,184.20 is: 501,276.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,745.20 : 511,117.80 = 334,184.20 : x
  2. Step 2: Convert to fraction form
    340,745.20/511,117.80 = 334,184.20/x
  3. Step 3: Cross multiply
    340,745.20x = 511,117.80 × 334,184.20
  4. Step 4: Simplify right side
    340,745.20x = 170,807,493,098.76
  5. Step 5: Solve for x
    x = 170,807,493,098.76/340,745.20
  6. Step 6: Final answer
    x = 501,276.30

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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.