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Finding the Fourth Proportional to 202,457.30, 303,685.95 and 143,359.70

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Solution

The fourth proportional to 202,457.30, 303,685.95 and 143,359.70 is: 215,039.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,457.30 : 303,685.95 = 143,359.70 : x
  2. Step 2: Convert to fraction form
    202,457.30/303,685.95 = 143,359.70/x
  3. Step 3: Cross multiply
    202,457.30x = 303,685.95 × 143,359.70
  4. Step 4: Simplify right side
    202,457.30x = 43,536,326,686.22
  5. Step 5: Solve for x
    x = 43,536,326,686.22/202,457.30
  6. Step 6: Final answer
    x = 215,039.55

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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.