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Finding the Fourth Proportional to 315,936.22, 471,886.72 and 285,903.90

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Solution

The fourth proportional to 315,936.22, 471,886.72 and 285,903.90 is: 427,030.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,936.22 : 471,886.72 = 285,903.90 : x
  2. Step 2: Convert to fraction form
    315,936.22/471,886.72 = 285,903.90/x
  3. Step 3: Cross multiply
    315,936.22x = 471,886.72 × 285,903.90
  4. Step 4: Simplify right side
    315,936.22x = 134,914,252,176.69
  5. Step 5: Solve for x
    x = 134,914,252,176.69/315,936.22
  6. Step 6: Final answer
    x = 427,030.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.