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Finding the Fourth Proportional to 525,876.12, 725,766.71 and 305,162.03

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Solution

The fourth proportional to 525,876.12, 725,766.71 and 305,162.03 is: 421,157.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,876.12 : 725,766.71 = 305,162.03 : x
  2. Step 2: Convert to fraction form
    525,876.12/725,766.71 = 305,162.03/x
  3. Step 3: Cross multiply
    525,876.12x = 725,766.71 × 305,162.03
  4. Step 4: Simplify right side
    525,876.12x = 221,476,445,107.34
  5. Step 5: Solve for x
    x = 221,476,445,107.34/525,876.12
  6. Step 6: Final answer
    x = 421,157.07

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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.