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Finding the Fourth Proportional to 305,197.74, 457,648.92 and 105,448.10

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Solution

The fourth proportional to 305,197.74, 457,648.92 and 105,448.10 is: 158,121.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,197.74 : 457,648.92 = 105,448.10 : x
  2. Step 2: Convert to fraction form
    305,197.74/457,648.92 = 105,448.10/x
  3. Step 3: Cross multiply
    305,197.74x = 457,648.92 × 105,448.10
  4. Step 4: Simplify right side
    305,197.74x = 48,258,206,792.81
  5. Step 5: Solve for x
    x = 48,258,206,792.81/305,197.74
  6. Step 6: Final answer
    x = 158,121.11

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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.