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Finding the Fourth Proportional to 303,681.40, 455,511.30 and 137,469.40

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Solution

The fourth proportional to 303,681.40, 455,511.30 and 137,469.40 is: 206,199.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,681.40 : 455,511.30 = 137,469.40 : x
  2. Step 2: Convert to fraction form
    303,681.40/455,511.30 = 137,469.40/x
  3. Step 3: Cross multiply
    303,681.40x = 455,511.30 × 137,469.40
  4. Step 4: Simplify right side
    303,681.40x = 62,618,865,104.22
  5. Step 5: Solve for x
    x = 62,618,865,104.22/303,681.40
  6. Step 6: Final answer
    x = 206,199.21

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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.