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Finding the Fourth Proportional to 351,617.76, 527,268.96 and 209,530.08

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Solution

The fourth proportional to 351,617.76, 527,268.96 and 209,530.08 is: 314,201.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,617.76 : 527,268.96 = 209,530.08 : x
  2. Step 2: Convert to fraction form
    351,617.76/527,268.96 = 209,530.08/x
  3. Step 3: Cross multiply
    351,617.76x = 527,268.96 × 209,530.08
  4. Step 4: Simplify right side
    351,617.76x = 110,478,707,370.32
  5. Step 5: Solve for x
    x = 110,478,707,370.32/351,617.76
  6. Step 6: Final answer
    x = 314,201.16

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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.