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Finding the Fourth Proportional to 202,288.90, 302,742.15 and 177,405.70

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Solution

The fourth proportional to 202,288.90, 302,742.15 and 177,405.70 is: 265,502.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,288.90 : 302,742.15 = 177,405.70 : x
  2. Step 2: Convert to fraction form
    202,288.90/302,742.15 = 177,405.70/x
  3. Step 3: Cross multiply
    202,288.90x = 302,742.15 × 177,405.70
  4. Step 4: Simplify right side
    202,288.90x = 53,708,183,040.26
  5. Step 5: Solve for x
    x = 53,708,183,040.26/202,288.90
  6. Step 6: Final answer
    x = 265,502.37

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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.