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Finding the Fourth Proportional to 340,411.72, 510,693.41 and 103,772.83

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Solution

The fourth proportional to 340,411.72, 510,693.41 and 103,772.83 is: 155,682.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,411.72 : 510,693.41 = 103,772.83 : x
  2. Step 2: Convert to fraction form
    340,411.72/510,693.41 = 103,772.83/x
  3. Step 3: Cross multiply
    340,411.72x = 510,693.41 × 103,772.83
  4. Step 4: Simplify right side
    340,411.72x = 52,996,100,418.05
  5. Step 5: Solve for x
    x = 52,996,100,418.05/340,411.72
  6. Step 6: Final answer
    x = 155,682.36

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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.