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Finding the Fourth Proportional to 520,418.62, 780,460.72 and 165,349.65

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Solution

The fourth proportional to 520,418.62, 780,460.72 and 165,349.65 is: 247,971.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,418.62 : 780,460.72 = 165,349.65 : x
  2. Step 2: Convert to fraction form
    520,418.62/780,460.72 = 165,349.65/x
  3. Step 3: Cross multiply
    520,418.62x = 780,460.72 × 165,349.65
  4. Step 4: Simplify right side
    520,418.62x = 129,048,909,404.10
  5. Step 5: Solve for x
    x = 129,048,909,404.10/520,418.62
  6. Step 6: Final answer
    x = 247,971.35

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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.