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Finding the Fourth Proportional to 520,162.25, 780,270.37 and 165,204.05

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Solution

The fourth proportional to 520,162.25, 780,270.37 and 165,204.05 is: 247,814.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,162.25 : 780,270.37 = 165,204.05 : x
  2. Step 2: Convert to fraction form
    520,162.25/780,270.37 = 165,204.05/x
  3. Step 3: Cross multiply
    520,162.25x = 780,270.37 × 165,204.05
  4. Step 4: Simplify right side
    520,162.25x = 128,903,820,904.64
  5. Step 5: Solve for x
    x = 128,903,820,904.64/520,162.25
  6. Step 6: Final answer
    x = 247,814.64

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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.