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Finding the Fourth Proportional to 487,906.30, 731,968.80 and 188,360.20

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Solution

The fourth proportional to 487,906.30, 731,968.80 and 188,360.20 is: 282,582.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,906.30 : 731,968.80 = 188,360.20 : x
  2. Step 2: Convert to fraction form
    487,906.30/731,968.80 = 188,360.20/x
  3. Step 3: Cross multiply
    487,906.30x = 731,968.80 × 188,360.20
  4. Step 4: Simplify right side
    487,906.30x = 137,873,789,561.76
  5. Step 5: Solve for x
    x = 137,873,789,561.76/487,906.30
  6. Step 6: Final answer
    x = 282,582.52

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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.