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Finding the Fourth Proportional to 458,160.74, 632,283.12 and 286,180.54

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Solution

The fourth proportional to 458,160.74, 632,283.12 and 286,180.54 is: 394,942.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,160.74 : 632,283.12 = 286,180.54 : x
  2. Step 2: Convert to fraction form
    458,160.74/632,283.12 = 286,180.54/x
  3. Step 3: Cross multiply
    458,160.74x = 632,283.12 × 286,180.54
  4. Step 4: Simplify right side
    458,160.74x = 180,947,124,714.49
  5. Step 5: Solve for x
    x = 180,947,124,714.49/458,160.74
  6. Step 6: Final answer
    x = 394,942.45

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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.