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Finding the Fourth Proportional to 351,643.20, 527,464.80 and 185,755.20

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Solution

The fourth proportional to 351,643.20, 527,464.80 and 185,755.20 is: 278,632.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,643.20 : 527,464.80 = 185,755.20 : x
  2. Step 2: Convert to fraction form
    351,643.20/527,464.80 = 185,755.20/x
  3. Step 3: Cross multiply
    351,643.20x = 527,464.80 × 185,755.20
  4. Step 4: Simplify right side
    351,643.20x = 97,979,329,416.96
  5. Step 5: Solve for x
    x = 97,979,329,416.96/351,643.20
  6. Step 6: Final answer
    x = 278,632.80

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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.