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Finding the Fourth Proportional to 391,570.80, 587,356.20 and 298,258.80

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Solution

The fourth proportional to 391,570.80, 587,356.20 and 298,258.80 is: 447,388.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,570.80 : 587,356.20 = 298,258.80 : x
  2. Step 2: Convert to fraction form
    391,570.80/587,356.20 = 298,258.80/x
  3. Step 3: Cross multiply
    391,570.80x = 587,356.20 × 298,258.80
  4. Step 4: Simplify right side
    391,570.80x = 175,184,155,384.56
  5. Step 5: Solve for x
    x = 175,184,155,384.56/391,570.80
  6. Step 6: Final answer
    x = 447,388.20

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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.