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Finding the Fourth Proportional to 567,228.52, 782,765.32 and 309,107.78

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Solution

The fourth proportional to 567,228.52, 782,765.32 and 309,107.78 is: 426,563.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,228.52 : 782,765.32 = 309,107.78 : x
  2. Step 2: Convert to fraction form
    567,228.52/782,765.32 = 309,107.78/x
  3. Step 3: Cross multiply
    567,228.52x = 782,765.32 × 309,107.78
  4. Step 4: Simplify right side
    567,228.52x = 241,958,849,154.54
  5. Step 5: Solve for x
    x = 241,958,849,154.54/567,228.52
  6. Step 6: Final answer
    x = 426,563.26

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Double scale
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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.