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Finding the Fourth Proportional to 202,438.40, 303,398.40 and 155,458.40

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Solution

The fourth proportional to 202,438.40, 303,398.40 and 155,458.40 is: 232,988.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,438.40 : 303,398.40 = 155,458.40 : x
  2. Step 2: Convert to fraction form
    202,438.40/303,398.40 = 155,458.40/x
  3. Step 3: Cross multiply
    202,438.40x = 303,398.40 × 155,458.40
  4. Step 4: Simplify right side
    202,438.40x = 47,165,829,826.56
  5. Step 5: Solve for x
    x = 47,165,829,826.56/202,438.40
  6. Step 6: Final answer
    x = 232,988.55

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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.