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Finding the Fourth Proportional to 303,438.40, 455,416.80 and 135,217.60

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Solution

The fourth proportional to 303,438.40, 455,416.80 and 135,217.60 is: 202,941.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,438.40 : 455,416.80 = 135,217.60 : x
  2. Step 2: Convert to fraction form
    303,438.40/455,416.80 = 135,217.60/x
  3. Step 3: Cross multiply
    303,438.40x = 455,416.80 × 135,217.60
  4. Step 4: Simplify right side
    303,438.40x = 61,580,366,695.68
  5. Step 5: Solve for x
    x = 61,580,366,695.68/303,438.40
  6. Step 6: Final answer
    x = 202,941.90

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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.