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Finding the Fourth Proportional to 567,278.96, 782,830.52 and 309,162.53

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Solution

The fourth proportional to 567,278.96, 782,830.52 and 309,162.53 is: 426,636.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,278.96 : 782,830.52 = 309,162.53 : x
  2. Step 2: Convert to fraction form
    567,278.96/782,830.52 = 309,162.53/x
  3. Step 3: Cross multiply
    567,278.96x = 782,830.52 × 309,162.53
  4. Step 4: Simplify right side
    567,278.96x = 242,021,864,535.68
  5. Step 5: Solve for x
    x = 242,021,864,535.68/567,278.96
  6. Step 6: Final answer
    x = 426,636.42

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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.