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Finding the Fourth Proportional to 310,028, 465,046.40 and 88,412

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Solution

The fourth proportional to 310,028, 465,046.40 and 88,412 is: 132,619.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,028 : 465,046.40 = 88,412 : x
  2. Step 2: Convert to fraction form
    310,028/465,046.40 = 88,412/x
  3. Step 3: Cross multiply
    310,028x = 465,046.40 × 88,412
  4. Step 4: Simplify right side
    310,028x = 41,115,682,316.80
  5. Step 5: Solve for x
    x = 41,115,682,316.80/310,028
  6. Step 6: Final answer
    x = 132,619.25

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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.