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Finding the Fourth Proportional to 305,130.36, 457,699.92 and 94,755

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Solution

The fourth proportional to 305,130.36, 457,699.92 and 94,755 is: 142,133.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,130.36 : 457,699.92 = 94,755 : x
  2. Step 2: Convert to fraction form
    305,130.36/457,699.92 = 94,755/x
  3. Step 3: Cross multiply
    305,130.36x = 457,699.92 × 94,755
  4. Step 4: Simplify right side
    305,130.36x = 43,369,355,919.60
  5. Step 5: Solve for x
    x = 43,369,355,919.60/305,130.36
  6. Step 6: Final answer
    x = 142,133.86

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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.