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Finding the Fourth Proportional to 240,795.76, 332,300.64 and 145,284

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Solution

The fourth proportional to 240,795.76, 332,300.64 and 145,284 is: 200,493.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,795.76 : 332,300.64 = 145,284 : x
  2. Step 2: Convert to fraction form
    240,795.76/332,300.64 = 145,284/x
  3. Step 3: Cross multiply
    240,795.76x = 332,300.64 × 145,284
  4. Step 4: Simplify right side
    240,795.76x = 48,277,966,181.76
  5. Step 5: Solve for x
    x = 48,277,966,181.76/240,795.76
  6. Step 6: Final answer
    x = 200,493.42

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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.