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Finding the Fourth Proportional to 305,280.40, 457,913.40 and 83,664.40

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Solution

The fourth proportional to 305,280.40, 457,913.40 and 83,664.40 is: 125,494.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,280.40 : 457,913.40 = 83,664.40 : x
  2. Step 2: Convert to fraction form
    305,280.40/457,913.40 = 83,664.40/x
  3. Step 3: Cross multiply
    305,280.40x = 457,913.40 × 83,664.40
  4. Step 4: Simplify right side
    305,280.40x = 38,311,049,862.96
  5. Step 5: Solve for x
    x = 38,311,049,862.96/305,280.40
  6. Step 6: Final answer
    x = 125,494.63

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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.