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Finding the Fourth Proportional to 340,390.76, 510,586.78 and 140,491.88

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Solution

The fourth proportional to 340,390.76, 510,586.78 and 140,491.88 is: 210,738.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,390.76 : 510,586.78 = 140,491.88 : x
  2. Step 2: Convert to fraction form
    340,390.76/510,586.78 = 140,491.88/x
  3. Step 3: Cross multiply
    340,390.76x = 510,586.78 × 140,491.88
  4. Step 4: Simplify right side
    340,390.76x = 71,733,296,625.35
  5. Step 5: Solve for x
    x = 71,733,296,625.35/340,390.76
  6. Step 6: Final answer
    x = 210,738.08

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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.