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Finding the Fourth Proportional to 330,064.21, 495,071.71 and 105,448.38

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Solution

The fourth proportional to 330,064.21, 495,071.71 and 105,448.38 is: 158,164.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,064.21 : 495,071.71 = 105,448.38 : x
  2. Step 2: Convert to fraction form
    330,064.21/495,071.71 = 105,448.38/x
  3. Step 3: Cross multiply
    330,064.21x = 495,071.71 × 105,448.38
  4. Step 4: Simplify right side
    330,064.21x = 52,204,509,803.33
  5. Step 5: Solve for x
    x = 52,204,509,803.33/330,064.21
  6. Step 6: Final answer
    x = 158,164.71

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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.