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Finding the Fourth Proportional to 310,270, 465,431.80 and 85,630.47

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Solution

The fourth proportional to 310,270, 465,431.80 and 85,630.47 is: 128,453.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,270 : 465,431.80 = 85,630.47 : x
  2. Step 2: Convert to fraction form
    310,270/465,431.80 = 85,630.47/x
  3. Step 3: Cross multiply
    310,270x = 465,431.80 × 85,630.47
  4. Step 4: Simplify right side
    310,270x = 39,855,143,786.95
  5. Step 5: Solve for x
    x = 39,855,143,786.95/310,270
  6. Step 6: Final answer
    x = 128,453.10

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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.