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Finding the Fourth Proportional to 525,419.52, 725,011.20 and 295,948.80

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Solution

The fourth proportional to 525,419.52, 725,011.20 and 295,948.80 is: 408,371.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,419.52 : 725,011.20 = 295,948.80 : x
  2. Step 2: Convert to fraction form
    525,419.52/725,011.20 = 295,948.80/x
  3. Step 3: Cross multiply
    525,419.52x = 725,011.20 × 295,948.80
  4. Step 4: Simplify right side
    525,419.52x = 214,566,194,626.56
  5. Step 5: Solve for x
    x = 214,566,194,626.56/525,419.52
  6. Step 6: Final answer
    x = 408,371.19

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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.