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Finding the Fourth Proportional to 565,100.88, 779,839.43 and 310,468.47

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Solution

The fourth proportional to 565,100.88, 779,839.43 and 310,468.47 is: 428,446.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,100.88 : 779,839.43 = 310,468.47 : x
  2. Step 2: Convert to fraction form
    565,100.88/779,839.43 = 310,468.47/x
  3. Step 3: Cross multiply
    565,100.88x = 779,839.43 × 310,468.47
  4. Step 4: Simplify right side
    565,100.88x = 242,115,553,125.43
  5. Step 5: Solve for x
    x = 242,115,553,125.43/565,100.88
  6. Step 6: Final answer
    x = 428,446.60

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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.