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Finding the Fourth Proportional to 601,071.64, 829,489.06 and 329,135.20

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Solution

The fourth proportional to 601,071.64, 829,489.06 and 329,135.20 is: 454,212.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,071.64 : 829,489.06 = 329,135.20 : x
  2. Step 2: Convert to fraction form
    601,071.64/829,489.06 = 329,135.20/x
  3. Step 3: Cross multiply
    601,071.64x = 829,489.06 × 329,135.20
  4. Step 4: Simplify right side
    601,071.64x = 273,014,047,660.91
  5. Step 5: Solve for x
    x = 273,014,047,660.91/601,071.64
  6. Step 6: Final answer
    x = 454,212.16

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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.