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Finding the Fourth Proportional to 513,868.78, 770,784.69 and 134,786.47

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Solution

The fourth proportional to 513,868.78, 770,784.69 and 134,786.47 is: 202,174.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,868.78 : 770,784.69 = 134,786.47 : x
  2. Step 2: Convert to fraction form
    513,868.78/770,784.69 = 134,786.47/x
  3. Step 3: Cross multiply
    513,868.78x = 770,784.69 × 134,786.47
  4. Step 4: Simplify right side
    513,868.78x = 103,891,347,495.14
  5. Step 5: Solve for x
    x = 103,891,347,495.14/513,868.78
  6. Step 6: Final answer
    x = 202,174.86

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1.5x scale

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.