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Finding the Fourth Proportional to 510,688.80, 769,857.48 and 476,435.52

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Solution

The fourth proportional to 510,688.80, 769,857.48 and 476,435.52 is: 718,221.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,688.80 : 769,857.48 = 476,435.52 : x
  2. Step 2: Convert to fraction form
    510,688.80/769,857.48 = 476,435.52/x
  3. Step 3: Cross multiply
    510,688.80x = 769,857.48 × 476,435.52
  4. Step 4: Simplify right side
    510,688.80x = 366,787,448,809.69
  5. Step 5: Solve for x
    x = 366,787,448,809.69/510,688.80
  6. Step 6: Final answer
    x = 718,221.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.