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Finding the Fourth Proportional to 488,370.30, 732,664.80 and 188,824.20

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Solution

The fourth proportional to 488,370.30, 732,664.80 and 188,824.20 is: 283,278.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,370.30 : 732,664.80 = 188,824.20 : x
  2. Step 2: Convert to fraction form
    488,370.30/732,664.80 = 188,824.20/x
  3. Step 3: Cross multiply
    488,370.30x = 732,664.80 × 188,824.20
  4. Step 4: Simplify right side
    488,370.30x = 138,344,844,728.16
  5. Step 5: Solve for x
    x = 138,344,844,728.16/488,370.30
  6. Step 6: Final answer
    x = 283,278.58

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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.