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Finding the Fourth Proportional to 778,237, 1,073,967.06 and 420,541

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Solution

The fourth proportional to 778,237, 1,073,967.06 and 420,541 is: 580,346.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,237 : 1,073,967.06 = 420,541 : x
  2. Step 2: Convert to fraction form
    778,237/1,073,967.06 = 420,541/x
  3. Step 3: Cross multiply
    778,237x = 1,073,967.06 × 420,541
  4. Step 4: Simplify right side
    778,237x = 451,647,181,379.46
  5. Step 5: Solve for x
    x = 451,647,181,379.46/778,237
  6. Step 6: Final answer
    x = 580,346.58

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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.