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Finding the Fourth Proportional to 513,335.00, 770,079.06 and 213,644.94

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Solution

The fourth proportional to 513,335.00, 770,079.06 and 213,644.94 is: 320,499.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,335.00 : 770,079.06 = 213,644.94 : x
  2. Step 2: Convert to fraction form
    513,335.00/770,079.06 = 213,644.94/x
  3. Step 3: Cross multiply
    513,335.00x = 770,079.06 × 213,644.94
  4. Step 4: Simplify right side
    513,335.00x = 164,523,494,568.96
  5. Step 5: Solve for x
    x = 164,523,494,568.96/513,335.00
  6. Step 6: Final answer
    x = 320,499.28

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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.