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Finding the Fourth Proportional to 567,282.47, 782,849.93 and 309,159.47

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Solution

The fourth proportional to 567,282.47, 782,849.93 and 309,159.47 is: 426,640.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,282.47 : 782,849.93 = 309,159.47 : x
  2. Step 2: Convert to fraction form
    567,282.47/782,849.93 = 309,159.47/x
  3. Step 3: Cross multiply
    567,282.47x = 782,849.93 × 309,159.47
  4. Step 4: Simplify right side
    567,282.47x = 242,025,469,859.67
  5. Step 5: Solve for x
    x = 242,025,469,859.67/567,282.47
  6. Step 6: Final answer
    x = 426,640.14

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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.