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Finding the Fourth Proportional to 774,751.70, 1,069,257.22 and 435,285.56

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Solution

The fourth proportional to 774,751.70, 1,069,257.22 and 435,285.56 is: 600,750.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,751.70 : 1,069,257.22 = 435,285.56 : x
  2. Step 2: Convert to fraction form
    774,751.70/1,069,257.22 = 435,285.56/x
  3. Step 3: Cross multiply
    774,751.70x = 1,069,257.22 × 435,285.56
  4. Step 4: Simplify right side
    774,751.70x = 465,432,227,791.74
  5. Step 5: Solve for x
    x = 465,432,227,791.74/774,751.70
  6. Step 6: Final answer
    x = 600,750.19

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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.