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Finding the Fourth Proportional to 305,055.48, 457,583.22 and 105,380.76

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Solution

The fourth proportional to 305,055.48, 457,583.22 and 105,380.76 is: 158,071.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,055.48 : 457,583.22 = 105,380.76 : x
  2. Step 2: Convert to fraction form
    305,055.48/457,583.22 = 105,380.76/x
  3. Step 3: Cross multiply
    305,055.48x = 457,583.22 × 105,380.76
  4. Step 4: Simplify right side
    305,055.48x = 48,220,467,486.85
  5. Step 5: Solve for x
    x = 48,220,467,486.85/305,055.48
  6. Step 6: Final answer
    x = 158,071.14

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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.