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Finding the Fourth Proportional to 520,211.96, 780,317.94 and 146,234.96

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Solution

The fourth proportional to 520,211.96, 780,317.94 and 146,234.96 is: 219,352.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,211.96 : 780,317.94 = 146,234.96 : x
  2. Step 2: Convert to fraction form
    520,211.96/780,317.94 = 146,234.96/x
  3. Step 3: Cross multiply
    520,211.96x = 780,317.94 × 146,234.96
  4. Step 4: Simplify right side
    520,211.96x = 114,109,762,743.18
  5. Step 5: Solve for x
    x = 114,109,762,743.18/520,211.96
  6. Step 6: Final answer
    x = 219,352.44

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1.5x scale

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.