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Finding the Fourth Proportional to 561,704.40, 842,530.68 and 140,970.96

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Solution

The fourth proportional to 561,704.40, 842,530.68 and 140,970.96 is: 211,449.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,704.40 : 842,530.68 = 140,970.96 : x
  2. Step 2: Convert to fraction form
    561,704.40/842,530.68 = 140,970.96/x
  3. Step 3: Cross multiply
    561,704.40x = 842,530.68 × 140,970.96
  4. Step 4: Simplify right side
    561,704.40x = 118,772,358,789.05
  5. Step 5: Solve for x
    x = 118,772,358,789.05/561,704.40
  6. Step 6: Final answer
    x = 211,449.93

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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.