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Finding the Fourth Proportional to 525,451.50, 725,123.91 and 299,097.02

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Solution

The fourth proportional to 525,451.50, 725,123.91 and 299,097.02 is: 412,754.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,451.50 : 725,123.91 = 299,097.02 : x
  2. Step 2: Convert to fraction form
    525,451.50/725,123.91 = 299,097.02/x
  3. Step 3: Cross multiply
    525,451.50x = 725,123.91 × 299,097.02
  4. Step 4: Simplify right side
    525,451.50x = 216,882,400,611.75
  5. Step 5: Solve for x
    x = 216,882,400,611.75/525,451.50
  6. Step 6: Final answer
    x = 412,754.37

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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.