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Finding the Fourth Proportional to 321,038.20, 481,038.90 and 202,497.40

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Solution

The fourth proportional to 321,038.20, 481,038.90 and 202,497.40 is: 303,419.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,038.20 : 481,038.90 = 202,497.40 : x
  2. Step 2: Convert to fraction form
    321,038.20/481,038.90 = 202,497.40/x
  3. Step 3: Cross multiply
    321,038.20x = 481,038.90 × 202,497.40
  4. Step 4: Simplify right side
    321,038.20x = 97,409,126,548.86
  5. Step 5: Solve for x
    x = 97,409,126,548.86/321,038.20
  6. Step 6: Final answer
    x = 303,419.12

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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.