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Finding the Fourth Proportional to 520,219.62, 780,345.45 and 141,138.86

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Solution

The fourth proportional to 520,219.62, 780,345.45 and 141,138.86 is: 211,712.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,219.62 : 780,345.45 = 141,138.86 : x
  2. Step 2: Convert to fraction form
    520,219.62/780,345.45 = 141,138.86/x
  3. Step 3: Cross multiply
    520,219.62x = 780,345.45 × 141,138.86
  4. Step 4: Simplify right side
    520,219.62x = 110,137,063,317.46
  5. Step 5: Solve for x
    x = 110,137,063,317.46/520,219.62
  6. Step 6: Final answer
    x = 211,712.63

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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.