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Finding the Fourth Proportional to 525,710.72, 725,722.97 and 307,889.09

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Solution

The fourth proportional to 525,710.72, 725,722.97 and 307,889.09 is: 425,028.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,710.72 : 725,722.97 = 307,889.09 : x
  2. Step 2: Convert to fraction form
    525,710.72/725,722.97 = 307,889.09/x
  3. Step 3: Cross multiply
    525,710.72x = 725,722.97 × 307,889.09
  4. Step 4: Simplify right side
    525,710.72x = 223,442,184,825.40
  5. Step 5: Solve for x
    x = 223,442,184,825.40/525,710.72
  6. Step 6: Final answer
    x = 425,028.78

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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.