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Finding the Fourth Proportional to 520,078.52, 780,214.26 and 164,996.60

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Solution

The fourth proportional to 520,078.52, 780,214.26 and 164,996.60 is: 247,525.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,078.52 : 780,214.26 = 164,996.60 : x
  2. Step 2: Convert to fraction form
    520,078.52/780,214.26 = 164,996.60/x
  3. Step 3: Cross multiply
    520,078.52x = 780,214.26 × 164,996.60
  4. Step 4: Simplify right side
    520,078.52x = 128,732,700,171.52
  5. Step 5: Solve for x
    x = 128,732,700,171.52/520,078.52
  6. Step 6: Final answer
    x = 247,525.51

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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.