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Finding the Fourth Proportional to 513,882.84, 770,785.38 and 158,899.08

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Solution

The fourth proportional to 513,882.84, 770,785.38 and 158,899.08 is: 238,336.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,882.84 : 770,785.38 = 158,899.08 : x
  2. Step 2: Convert to fraction form
    513,882.84/770,785.38 = 158,899.08/x
  3. Step 3: Cross multiply
    513,882.84x = 770,785.38 × 158,899.08
  4. Step 4: Simplify right side
    513,882.84x = 122,477,087,759.45
  5. Step 5: Solve for x
    x = 122,477,087,759.45/513,882.84
  6. Step 6: Final answer
    x = 238,336.60

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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.