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Finding the Fourth Proportional to 777,781, 1,073,338.50 and 420,085

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Solution

The fourth proportional to 777,781, 1,073,338.50 and 420,085 is: 579,717.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,781 : 1,073,338.50 = 420,085 : x
  2. Step 2: Convert to fraction form
    777,781/1,073,338.50 = 420,085/x
  3. Step 3: Cross multiply
    777,781x = 1,073,338.50 × 420,085
  4. Step 4: Simplify right side
    777,781x = 450,893,403,772.50
  5. Step 5: Solve for x
    x = 450,893,403,772.50/777,781
  6. Step 6: Final answer
    x = 579,717.69

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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.