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Finding the Fourth Proportional to 520,107.12, 780,187.72 and 165,148.96

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Solution

The fourth proportional to 520,107.12, 780,187.72 and 165,148.96 is: 247,732.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,107.12 : 780,187.72 = 165,148.96 : x
  2. Step 2: Convert to fraction form
    520,107.12/780,187.72 = 165,148.96/x
  3. Step 3: Cross multiply
    520,107.12x = 780,187.72 × 165,148.96
  4. Step 4: Simplify right side
    520,107.12x = 128,847,190,562.77
  5. Step 5: Solve for x
    x = 128,847,190,562.77/520,107.12
  6. Step 6: Final answer
    x = 247,732.03

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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.