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Finding the Fourth Proportional to 520,046.78, 780,167.01 and 164,965.10

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Solution

The fourth proportional to 520,046.78, 780,167.01 and 164,965.10 is: 247,478.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,046.78 : 780,167.01 = 164,965.10 : x
  2. Step 2: Convert to fraction form
    520,046.78/780,167.01 = 164,965.10/x
  3. Step 3: Cross multiply
    520,046.78x = 780,167.01 × 164,965.10
  4. Step 4: Simplify right side
    520,046.78x = 128,700,328,821.35
  5. Step 5: Solve for x
    x = 128,700,328,821.35/520,046.78
  6. Step 6: Final answer
    x = 247,478.37

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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.