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Finding the Fourth Proportional to 525,104.72, 724,635.24 and 298,745.36

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Solution

The fourth proportional to 525,104.72, 724,635.24 and 298,745.36 is: 412,263.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,104.72 : 724,635.24 = 298,745.36 : x
  2. Step 2: Convert to fraction form
    525,104.72/724,635.24 = 298,745.36/x
  3. Step 3: Cross multiply
    525,104.72x = 724,635.24 × 298,745.36
  4. Step 4: Simplify right side
    525,104.72x = 216,481,415,642.49
  5. Step 5: Solve for x
    x = 216,481,415,642.49/525,104.72
  6. Step 6: Final answer
    x = 412,263.32

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1.5x scale

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.