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Finding the Fourth Proportional to 360,931.40, 541,397.10 and 329,438.60

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Solution

The fourth proportional to 360,931.40, 541,397.10 and 329,438.60 is: 494,157.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,931.40 : 541,397.10 = 329,438.60 : x
  2. Step 2: Convert to fraction form
    360,931.40/541,397.10 = 329,438.60/x
  3. Step 3: Cross multiply
    360,931.40x = 541,397.10 × 329,438.60
  4. Step 4: Simplify right side
    360,931.40x = 178,357,102,668.06
  5. Step 5: Solve for x
    x = 178,357,102,668.06/360,931.40
  6. Step 6: Final answer
    x = 494,157.90

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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.