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Finding the Fourth Proportional to 778,624, 1,074,503.68 and 420,930.56

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Solution

The fourth proportional to 778,624, 1,074,503.68 and 420,930.56 is: 580,885.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,624 : 1,074,503.68 = 420,930.56 : x
  2. Step 2: Convert to fraction form
    778,624/1,074,503.68 = 420,930.56/x
  3. Step 3: Cross multiply
    778,624x = 1,074,503.68 × 420,930.56
  4. Step 4: Simplify right side
    778,624x = 452,291,435,744.46
  5. Step 5: Solve for x
    x = 452,291,435,744.46/778,624
  6. Step 6: Final answer
    x = 580,885.56

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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.