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Finding the Fourth Proportional to 520,642.08, 780,682.48 and 280,884.52

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Solution

The fourth proportional to 520,642.08, 780,682.48 and 280,884.52 is: 421,175.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,642.08 : 780,682.48 = 280,884.52 : x
  2. Step 2: Convert to fraction form
    520,642.08/780,682.48 = 280,884.52/x
  3. Step 3: Cross multiply
    520,642.08x = 780,682.48 × 280,884.52
  4. Step 4: Simplify right side
    520,642.08x = 219,281,623,667.21
  5. Step 5: Solve for x
    x = 219,281,623,667.21/520,642.08
  6. Step 6: Final answer
    x = 421,175.38

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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.