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Finding the Fourth Proportional to 486,085.40, 729,128.10 and 415,226.60

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Solution

The fourth proportional to 486,085.40, 729,128.10 and 415,226.60 is: 622,839.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,085.40 : 729,128.10 = 415,226.60 : x
  2. Step 2: Convert to fraction form
    486,085.40/729,128.10 = 415,226.60/x
  3. Step 3: Cross multiply
    486,085.40x = 729,128.10 × 415,226.60
  4. Step 4: Simplify right side
    486,085.40x = 302,753,381,927.46
  5. Step 5: Solve for x
    x = 302,753,381,927.46/486,085.40
  6. Step 6: Final answer
    x = 622,839.90

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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.