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Finding the Fourth Proportional to 321,411.20, 482,030.40 and 96,771.20

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Solution

The fourth proportional to 321,411.20, 482,030.40 and 96,771.20 is: 145,130.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,411.20 : 482,030.40 = 96,771.20 : x
  2. Step 2: Convert to fraction form
    321,411.20/482,030.40 = 96,771.20/x
  3. Step 3: Cross multiply
    321,411.20x = 482,030.40 × 96,771.20
  4. Step 4: Simplify right side
    321,411.20x = 46,646,660,244.48
  5. Step 5: Solve for x
    x = 46,646,660,244.48/321,411.20
  6. Step 6: Final answer
    x = 145,130.79

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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.