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Finding the Fourth Proportional to 538,521.20, 743,128.94 and 296,803.04

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Solution

The fourth proportional to 538,521.20, 743,128.94 and 296,803.04 is: 409,571.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,521.20 : 743,128.94 = 296,803.04 : x
  2. Step 2: Convert to fraction form
    538,521.20/743,128.94 = 296,803.04/x
  3. Step 3: Cross multiply
    538,521.20x = 743,128.94 × 296,803.04
  4. Step 4: Simplify right side
    538,521.20x = 220,562,927,019.96
  5. Step 5: Solve for x
    x = 220,562,927,019.96/538,521.20
  6. Step 6: Final answer
    x = 409,571.48

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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.