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Finding the Fourth Proportional to 391,707.60, 587,446.20 and 154,971.60

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Solution

The fourth proportional to 391,707.60, 587,446.20 and 154,971.60 is: 232,411.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,707.60 : 587,446.20 = 154,971.60 : x
  2. Step 2: Convert to fraction form
    391,707.60/587,446.20 = 154,971.60/x
  3. Step 3: Cross multiply
    391,707.60x = 587,446.20 × 154,971.60
  4. Step 4: Simplify right side
    391,707.60x = 91,037,477,527.92
  5. Step 5: Solve for x
    x = 91,037,477,527.92/391,707.60
  6. Step 6: Final answer
    x = 232,411.82

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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.