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Finding the Fourth Proportional to 505,602.18, 758,217.24 and 205,920

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Solution

The fourth proportional to 505,602.18, 758,217.24 and 205,920 is: 308,804.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,602.18 : 758,217.24 = 205,920 : x
  2. Step 2: Convert to fraction form
    505,602.18/758,217.24 = 205,920/x
  3. Step 3: Cross multiply
    505,602.18x = 758,217.24 × 205,920
  4. Step 4: Simplify right side
    505,602.18x = 156,132,094,060.80
  5. Step 5: Solve for x
    x = 156,132,094,060.80/505,602.18
  6. Step 6: Final answer
    x = 308,804.23

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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.