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Finding the Fourth Proportional to 525,805.75, 725,611.94 and 299,472.31

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Solution

The fourth proportional to 525,805.75, 725,611.94 and 299,472.31 is: 413,271.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,805.75 : 725,611.94 = 299,472.31 : x
  2. Step 2: Convert to fraction form
    525,805.75/725,611.94 = 299,472.31/x
  3. Step 3: Cross multiply
    525,805.75x = 725,611.94 × 299,472.31
  4. Step 4: Simplify right side
    525,805.75x = 217,300,683,835.38
  5. Step 5: Solve for x
    x = 217,300,683,835.38/525,805.75
  6. Step 6: Final answer
    x = 413,271.79

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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.