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Finding the Fourth Proportional to 567,263.88, 782,824.32 and 309,140.91

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Solution

The fourth proportional to 567,263.88, 782,824.32 and 309,140.91 is: 426,614.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,263.88 : 782,824.32 = 309,140.91 : x
  2. Step 2: Convert to fraction form
    567,263.88/782,824.32 = 309,140.91/x
  3. Step 3: Cross multiply
    567,263.88x = 782,824.32 × 309,140.91
  4. Step 4: Simplify right side
    567,263.88x = 242,003,022,654.93
  5. Step 5: Solve for x
    x = 242,003,022,654.93/567,263.88
  6. Step 6: Final answer
    x = 426,614.55

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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.