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Finding the Fourth Proportional to 489,581.76, 675,241.92 and 354,123.84

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Solution

The fourth proportional to 489,581.76, 675,241.92 and 354,123.84 is: 488,415.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,581.76 : 675,241.92 = 354,123.84 : x
  2. Step 2: Convert to fraction form
    489,581.76/675,241.92 = 354,123.84/x
  3. Step 3: Cross multiply
    489,581.76x = 675,241.92 × 354,123.84
  4. Step 4: Simplify right side
    489,581.76x = 239,119,261,639.37
  5. Step 5: Solve for x
    x = 239,119,261,639.37/489,581.76
  6. Step 6: Final answer
    x = 488,415.38

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1.5x scale

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.