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Finding the Fourth Proportional to 340,053.18, 510,142.03 and 140,264.57

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Solution

The fourth proportional to 340,053.18, 510,142.03 and 140,264.57 is: 210,422.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,053.18 : 510,142.03 = 140,264.57 : x
  2. Step 2: Convert to fraction form
    340,053.18/510,142.03 = 140,264.57/x
  3. Step 3: Cross multiply
    340,053.18x = 510,142.03 × 140,264.57
  4. Step 4: Simplify right side
    340,053.18x = 71,554,854,190.56
  5. Step 5: Solve for x
    x = 71,554,854,190.56/340,053.18
  6. Step 6: Final answer
    x = 210,422.54

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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.