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Finding the Fourth Proportional to 505,543.15, 757,870.44 and 206,275.69

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Solution

The fourth proportional to 505,543.15, 757,870.44 and 206,275.69 is: 309,232.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,543.15 : 757,870.44 = 206,275.69 : x
  2. Step 2: Convert to fraction form
    505,543.15/757,870.44 = 206,275.69/x
  3. Step 3: Cross multiply
    505,543.15x = 757,870.44 × 206,275.69
  4. Step 4: Simplify right side
    505,543.15x = 156,330,247,941.60
  5. Step 5: Solve for x
    x = 156,330,247,941.60/505,543.15
  6. Step 6: Final answer
    x = 309,232.25

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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.