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Finding the Fourth Proportional to 525,408.50, 725,064.54 and 299,054

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Solution

The fourth proportional to 525,408.50, 725,064.54 and 299,054 is: 412,694.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,408.50 : 725,064.54 = 299,054 : x
  2. Step 2: Convert to fraction form
    525,408.50/725,064.54 = 299,054/x
  3. Step 3: Cross multiply
    525,408.50x = 725,064.54 × 299,054
  4. Step 4: Simplify right side
    525,408.50x = 216,833,450,945.16
  5. Step 5: Solve for x
    x = 216,833,450,945.16/525,408.50
  6. Step 6: Final answer
    x = 412,694.98

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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.