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Finding the Fourth Proportional to 614,064.80, 919,741.08 and 401,138.48

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Solution

The fourth proportional to 614,064.80, 919,741.08 and 401,138.48 is: 600,821.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,064.80 : 919,741.08 = 401,138.48 : x
  2. Step 2: Convert to fraction form
    614,064.80/919,741.08 = 401,138.48/x
  3. Step 3: Cross multiply
    614,064.80x = 919,741.08 × 401,138.48
  4. Step 4: Simplify right side
    614,064.80x = 368,943,538,824.76
  5. Step 5: Solve for x
    x = 368,943,538,824.76/614,064.80
  6. Step 6: Final answer
    x = 600,821.83

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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.