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Finding the Fourth Proportional to 513,643.90, 770,607.60 and 214,265.20

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Solution

The fourth proportional to 513,643.90, 770,607.60 and 214,265.20 is: 321,456.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,643.90 : 770,607.60 = 214,265.20 : x
  2. Step 2: Convert to fraction form
    513,643.90/770,607.60 = 214,265.20/x
  3. Step 3: Cross multiply
    513,643.90x = 770,607.60 × 214,265.20
  4. Step 4: Simplify right side
    513,643.90x = 165,114,391,535.52
  5. Step 5: Solve for x
    x = 165,114,391,535.52/513,643.90
  6. Step 6: Final answer
    x = 321,456.93

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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.