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Finding the Fourth Proportional to 567,285.68, 782,844.19 and 309,165

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Solution

The fourth proportional to 567,285.68, 782,844.19 and 309,165 is: 426,642.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,285.68 : 782,844.19 = 309,165 : x
  2. Step 2: Convert to fraction form
    567,285.68/782,844.19 = 309,165/x
  3. Step 3: Cross multiply
    567,285.68x = 782,844.19 × 309,165
  4. Step 4: Simplify right side
    567,285.68x = 242,028,024,001.35
  5. Step 5: Solve for x
    x = 242,028,024,001.35/567,285.68
  6. Step 6: Final answer
    x = 426,642.22

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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.