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Finding the Fourth Proportional to 357,301.76, 535,165.32 and 199,137.92

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Solution

The fourth proportional to 357,301.76, 535,165.32 and 199,137.92 is: 298,268.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,301.76 : 535,165.32 = 199,137.92 : x
  2. Step 2: Convert to fraction form
    357,301.76/535,165.32 = 199,137.92/x
  3. Step 3: Cross multiply
    357,301.76x = 535,165.32 × 199,137.92
  4. Step 4: Simplify right side
    357,301.76x = 106,571,708,680.93
  5. Step 5: Solve for x
    x = 106,571,708,680.93/357,301.76
  6. Step 6: Final answer
    x = 298,268.08

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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.