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Finding the Fourth Proportional to 332,307, 498,667.86 and 135,315

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Solution

The fourth proportional to 332,307, 498,667.86 and 135,315 is: 203,056.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,307 : 498,667.86 = 135,315 : x
  2. Step 2: Convert to fraction form
    332,307/498,667.86 = 135,315/x
  3. Step 3: Cross multiply
    332,307x = 498,667.86 × 135,315
  4. Step 4: Simplify right side
    332,307x = 67,477,241,475.90
  5. Step 5: Solve for x
    x = 67,477,241,475.90/332,307
  6. Step 6: Final answer
    x = 203,056.94

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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.