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Finding the Fourth Proportional to 513,777.50, 770,887.70 and 214,317.06

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Solution

The fourth proportional to 513,777.50, 770,887.70 and 214,317.06 is: 321,567.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,777.50 : 770,887.70 = 214,317.06 : x
  2. Step 2: Convert to fraction form
    513,777.50/770,887.70 = 214,317.06/x
  3. Step 3: Cross multiply
    513,777.50x = 770,887.70 × 214,317.06
  4. Step 4: Simplify right side
    513,777.50x = 165,214,385,454.16
  5. Step 5: Solve for x
    x = 165,214,385,454.16/513,777.50
  6. Step 6: Final answer
    x = 321,567.97

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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.