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Finding the Fourth Proportional to 520,046.28, 780,166.26 and 164,964.60

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Solution

The fourth proportional to 520,046.28, 780,166.26 and 164,964.60 is: 247,477.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,046.28 : 780,166.26 = 164,964.60 : x
  2. Step 2: Convert to fraction form
    520,046.28/780,166.26 = 164,964.60/x
  3. Step 3: Cross multiply
    520,046.28x = 780,166.26 × 164,964.60
  4. Step 4: Simplify right side
    520,046.28x = 128,699,815,014.40
  5. Step 5: Solve for x
    x = 128,699,815,014.40/520,046.28
  6. Step 6: Final answer
    x = 247,477.62

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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.