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Finding the Fourth Proportional to 340,320.40, 510,512.72 and 100,435.21

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Solution

The fourth proportional to 340,320.40, 510,512.72 and 100,435.21 is: 150,662.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,320.40 : 510,512.72 = 100,435.21 : x
  2. Step 2: Convert to fraction form
    340,320.40/510,512.72 = 100,435.21/x
  3. Step 3: Cross multiply
    340,320.40x = 510,512.72 × 100,435.21
  4. Step 4: Simplify right side
    340,320.40x = 51,273,452,240.87
  5. Step 5: Solve for x
    x = 51,273,452,240.87/340,320.40
  6. Step 6: Final answer
    x = 150,662.29

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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.