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Finding the Fourth Proportional to 305,151.76, 457,854 and 164,745.28

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Solution

The fourth proportional to 305,151.76, 457,854 and 164,745.28 is: 247,186.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,151.76 : 457,854 = 164,745.28 : x
  2. Step 2: Convert to fraction form
    305,151.76/457,854 = 164,745.28/x
  3. Step 3: Cross multiply
    305,151.76x = 457,854 × 164,745.28
  4. Step 4: Simplify right side
    305,151.76x = 75,429,285,429.12
  5. Step 5: Solve for x
    x = 75,429,285,429.12/305,151.76
  6. Step 6: Final answer
    x = 247,186.14

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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.