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Finding the Fourth Proportional to 512,255.56, 706,912.26 and 282,813.16

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Solution

The fourth proportional to 512,255.56, 706,912.26 and 282,813.16 is: 390,281.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,255.56 : 706,912.26 = 282,813.16 : x
  2. Step 2: Convert to fraction form
    512,255.56/706,912.26 = 282,813.16/x
  3. Step 3: Cross multiply
    512,255.56x = 706,912.26 × 282,813.16
  4. Step 4: Simplify right side
    512,255.56x = 199,924,090,093.34
  5. Step 5: Solve for x
    x = 199,924,090,093.34/512,255.56
  6. Step 6: Final answer
    x = 390,281.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.