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Finding the Fourth Proportional to 304,785.72, 457,208.64 and 105,079.84

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Solution

The fourth proportional to 304,785.72, 457,208.64 and 105,079.84 is: 157,630.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,785.72 : 457,208.64 = 105,079.84 : x
  2. Step 2: Convert to fraction form
    304,785.72/457,208.64 = 105,079.84/x
  3. Step 3: Cross multiply
    304,785.72x = 457,208.64 × 105,079.84
  4. Step 4: Simplify right side
    304,785.72x = 48,043,410,737.82
  5. Step 5: Solve for x
    x = 48,043,410,737.82/304,785.72
  6. Step 6: Final answer
    x = 157,630.12

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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.