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Finding the Fourth Proportional to 340,498.08, 510,854.04 and 140,912.46

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Solution

The fourth proportional to 340,498.08, 510,854.04 and 140,912.46 is: 211,412.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,498.08 : 510,854.04 = 140,912.46 : x
  2. Step 2: Convert to fraction form
    340,498.08/510,854.04 = 140,912.46/x
  3. Step 3: Cross multiply
    340,498.08x = 510,854.04 × 140,912.46
  4. Step 4: Simplify right side
    340,498.08x = 71,985,699,477.34
  5. Step 5: Solve for x
    x = 71,985,699,477.34/340,498.08
  6. Step 6: Final answer
    x = 211,412.94

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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.