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Finding the Fourth Proportional to 567,090.90, 782,584.96 and 312,442.08

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Solution

The fourth proportional to 567,090.90, 782,584.96 and 312,442.08 is: 431,169.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,090.90 : 782,584.96 = 312,442.08 : x
  2. Step 2: Convert to fraction form
    567,090.90/782,584.96 = 312,442.08/x
  3. Step 3: Cross multiply
    567,090.90x = 782,584.96 × 312,442.08
  4. Step 4: Simplify right side
    567,090.90x = 244,512,472,679.12
  5. Step 5: Solve for x
    x = 244,512,472,679.12/567,090.90
  6. Step 6: Final answer
    x = 431,169.80

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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.