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Finding the Fourth Proportional to 525,665.40, 788,214 and 165,768.36

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Solution

The fourth proportional to 525,665.40, 788,214 and 165,768.36 is: 248,562.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,665.40 : 788,214 = 165,768.36 : x
  2. Step 2: Convert to fraction form
    525,665.40/788,214 = 165,768.36/x
  3. Step 3: Cross multiply
    525,665.40x = 788,214 × 165,768.36
  4. Step 4: Simplify right side
    525,665.40x = 130,660,942,109.04
  5. Step 5: Solve for x
    x = 130,660,942,109.04/525,665.40
  6. Step 6: Final answer
    x = 248,562.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.