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Finding the Fourth Proportional to 601,462.09, 830,017.65 and 329,540.29

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Solution

The fourth proportional to 601,462.09, 830,017.65 and 329,540.29 is: 454,765.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,462.09 : 830,017.65 = 329,540.29 : x
  2. Step 2: Convert to fraction form
    601,462.09/830,017.65 = 329,540.29/x
  3. Step 3: Cross multiply
    601,462.09x = 830,017.65 × 329,540.29
  4. Step 4: Simplify right side
    601,462.09x = 273,524,257,086.12
  5. Step 5: Solve for x
    x = 273,524,257,086.12/601,462.09
  6. Step 6: Final answer
    x = 454,765.58

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1.5x scale

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.