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Finding the Fourth Proportional to 340,305.20, 510,457.97 and 140,405.88

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Solution

The fourth proportional to 340,305.20, 510,457.97 and 140,405.88 is: 210,608.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,305.20 : 510,457.97 = 140,405.88 : x
  2. Step 2: Convert to fraction form
    340,305.20/510,457.97 = 140,405.88/x
  3. Step 3: Cross multiply
    340,305.20x = 510,457.97 × 140,405.88
  4. Step 4: Simplify right side
    340,305.20x = 71,671,299,778.83
  5. Step 5: Solve for x
    x = 71,671,299,778.83/340,305.20
  6. Step 6: Final answer
    x = 210,608.89

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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.