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Finding the Fourth Proportional to 305,027.76, 457,541.62 and 83,411.76

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Solution

The fourth proportional to 305,027.76, 457,541.62 and 83,411.76 is: 125,117.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,027.76 : 457,541.62 = 83,411.76 : x
  2. Step 2: Convert to fraction form
    305,027.76/457,541.62 = 83,411.76/x
  3. Step 3: Cross multiply
    305,027.76x = 457,541.62 × 83,411.76
  4. Step 4: Simplify right side
    305,027.76x = 38,164,351,797.45
  5. Step 5: Solve for x
    x = 38,164,351,797.45/305,027.76
  6. Step 6: Final answer
    x = 125,117.63

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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.