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Finding the Fourth Proportional to 310,098.60, 465,147.90 and 285,215.40

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Solution

The fourth proportional to 310,098.60, 465,147.90 and 285,215.40 is: 427,823.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,098.60 : 465,147.90 = 285,215.40 : x
  2. Step 2: Convert to fraction form
    310,098.60/465,147.90 = 285,215.40/x
  3. Step 3: Cross multiply
    310,098.60x = 465,147.90 × 285,215.40
  4. Step 4: Simplify right side
    310,098.60x = 132,667,344,357.66
  5. Step 5: Solve for x
    x = 132,667,344,357.66/310,098.60
  6. Step 6: Final answer
    x = 427,823.10

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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.