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Finding the Fourth Proportional to 493,881.30, 740,854.35 and 138,906.90

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Solution

The fourth proportional to 493,881.30, 740,854.35 and 138,906.90 is: 208,369.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,881.30 : 740,854.35 = 138,906.90 : x
  2. Step 2: Convert to fraction form
    493,881.30/740,854.35 = 138,906.90/x
  3. Step 3: Cross multiply
    493,881.30x = 740,854.35 × 138,906.90
  4. Step 4: Simplify right side
    493,881.30x = 102,909,781,110.02
  5. Step 5: Solve for x
    x = 102,909,781,110.02/493,881.30
  6. Step 6: Final answer
    x = 208,369.46

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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.