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Finding the Fourth Proportional to 567,242.75, 782,784.86 and 309,121.94

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Solution

The fourth proportional to 567,242.75, 782,784.86 and 309,121.94 is: 426,582.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,242.75 : 782,784.86 = 309,121.94 : x
  2. Step 2: Convert to fraction form
    567,242.75/782,784.86 = 309,121.94/x
  3. Step 3: Cross multiply
    567,242.75x = 782,784.86 × 309,121.94
  4. Step 4: Simplify right side
    567,242.75x = 241,975,969,066.29
  5. Step 5: Solve for x
    x = 241,975,969,066.29/567,242.75
  6. Step 6: Final answer
    x = 426,582.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.