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Finding the Fourth Proportional to 814,263, 1,220,148.93 and 435,237.66

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Solution

The fourth proportional to 814,263, 1,220,148.93 and 435,237.66 is: 652,190.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,263 : 1,220,148.93 = 435,237.66 : x
  2. Step 2: Convert to fraction form
    814,263/1,220,148.93 = 435,237.66/x
  3. Step 3: Cross multiply
    814,263x = 1,220,148.93 × 435,237.66
  4. Step 4: Simplify right side
    814,263x = 531,054,765,144.70
  5. Step 5: Solve for x
    x = 531,054,765,144.70/814,263
  6. Step 6: Final answer
    x = 652,190.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.