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Finding the Fourth Proportional to 489,903.48, 676,022.76 and 285,972.12

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Solution

The fourth proportional to 489,903.48, 676,022.76 and 285,972.12 is: 394,615.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,903.48 : 676,022.76 = 285,972.12 : x
  2. Step 2: Convert to fraction form
    489,903.48/676,022.76 = 285,972.12/x
  3. Step 3: Cross multiply
    489,903.48x = 676,022.76 × 285,972.12
  4. Step 4: Simplify right side
    489,903.48x = 193,323,661,845.45
  5. Step 5: Solve for x
    x = 193,323,661,845.45/489,903.48
  6. Step 6: Final answer
    x = 394,615.82

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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.