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Finding the Fourth Proportional to 304,903.78, 457,269.24 and 192,415.48

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Solution

The fourth proportional to 304,903.78, 457,269.24 and 192,415.48 is: 288,568.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,903.78 : 457,269.24 = 192,415.48 : x
  2. Step 2: Convert to fraction form
    304,903.78/457,269.24 = 192,415.48/x
  3. Step 3: Cross multiply
    304,903.78x = 457,269.24 × 192,415.48
  4. Step 4: Simplify right side
    304,903.78x = 87,985,680,303.84
  5. Step 5: Solve for x
    x = 87,985,680,303.84/304,903.78
  6. Step 6: Final answer
    x = 288,568.68

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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.