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Finding the Fourth Proportional to 513,341.25, 770,143.09 and 213,722.25

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Solution

The fourth proportional to 513,341.25, 770,143.09 and 213,722.25 is: 320,638.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,341.25 : 770,143.09 = 213,722.25 : x
  2. Step 2: Convert to fraction form
    513,341.25/770,143.09 = 213,722.25/x
  3. Step 3: Cross multiply
    513,341.25x = 770,143.09 × 213,722.25
  4. Step 4: Simplify right side
    513,341.25x = 164,596,714,016.75
  5. Step 5: Solve for x
    x = 164,596,714,016.75/513,341.25
  6. Step 6: Final answer
    x = 320,638.00

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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.