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Finding the Fourth Proportional to 354,065.28, 531,343.14 and 140,811.30

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Solution

The fourth proportional to 354,065.28, 531,343.14 and 140,811.30 is: 211,314.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,065.28 : 531,343.14 = 140,811.30 : x
  2. Step 2: Convert to fraction form
    354,065.28/531,343.14 = 140,811.30/x
  3. Step 3: Cross multiply
    354,065.28x = 531,343.14 × 140,811.30
  4. Step 4: Simplify right side
    354,065.28x = 74,819,118,289.48
  5. Step 5: Solve for x
    x = 74,819,118,289.48/354,065.28
  6. Step 6: Final answer
    x = 211,314.47

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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.