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Finding the Fourth Proportional to 321,871.20, 482,804.40 and 97,231.20

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Solution

The fourth proportional to 321,871.20, 482,804.40 and 97,231.20 is: 145,846.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,871.20 : 482,804.40 = 97,231.20 : x
  2. Step 2: Convert to fraction form
    321,871.20/482,804.40 = 97,231.20/x
  3. Step 3: Cross multiply
    321,871.20x = 482,804.40 × 97,231.20
  4. Step 4: Simplify right side
    321,871.20x = 46,943,651,177.28
  5. Step 5: Solve for x
    x = 46,943,651,177.28/321,871.20
  6. Step 6: Final answer
    x = 145,846.08

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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.