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Finding the Fourth Proportional to 525,888, 725,725.44 and 299,664.72

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Solution

The fourth proportional to 525,888, 725,725.44 and 299,664.72 is: 413,537.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,888 : 725,725.44 = 299,664.72 : x
  2. Step 2: Convert to fraction form
    525,888/725,725.44 = 299,664.72/x
  3. Step 3: Cross multiply
    525,888x = 725,725.44 × 299,664.72
  4. Step 4: Simplify right side
    525,888x = 217,474,310,774.48
  5. Step 5: Solve for x
    x = 217,474,310,774.48/525,888
  6. Step 6: Final answer
    x = 413,537.31

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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.