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Finding the Fourth Proportional to 513,977.34, 770,522.58 and 247,371.06

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Solution

The fourth proportional to 513,977.34, 770,522.58 and 247,371.06 is: 370,843.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,977.34 : 770,522.58 = 247,371.06 : x
  2. Step 2: Convert to fraction form
    513,977.34/770,522.58 = 247,371.06/x
  3. Step 3: Cross multiply
    513,977.34x = 770,522.58 × 247,371.06
  4. Step 4: Simplify right side
    513,977.34x = 190,604,987,368.54
  5. Step 5: Solve for x
    x = 190,604,987,368.54/513,977.34
  6. Step 6: Final answer
    x = 370,843.17

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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.