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Finding the Fourth Proportional to 513,436.40, 770,133.15 and 134,348.72

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Solution

The fourth proportional to 513,436.40, 770,133.15 and 134,348.72 is: 201,517.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,436.40 : 770,133.15 = 134,348.72 : x
  2. Step 2: Convert to fraction form
    513,436.40/770,133.15 = 134,348.72/x
  3. Step 3: Cross multiply
    513,436.40x = 770,133.15 × 134,348.72
  4. Step 4: Simplify right side
    513,436.40x = 103,466,404,857.40
  5. Step 5: Solve for x
    x = 103,466,404,857.40/513,436.40
  6. Step 6: Final answer
    x = 201,517.47

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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.