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Finding the Fourth Proportional to 391,505.40, 587,258.10 and 302,931.90

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Solution

The fourth proportional to 391,505.40, 587,258.10 and 302,931.90 is: 454,397.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,505.40 : 587,258.10 = 302,931.90 : x
  2. Step 2: Convert to fraction form
    391,505.40/587,258.10 = 302,931.90/x
  3. Step 3: Cross multiply
    391,505.40x = 587,258.10 × 302,931.90
  4. Step 4: Simplify right side
    391,505.40x = 177,899,212,023.39
  5. Step 5: Solve for x
    x = 177,899,212,023.39/391,505.40
  6. Step 6: Final answer
    x = 454,397.85

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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.