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Finding the Fourth Proportional to 321,355.40, 482,033.10 and 238,411.40

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Solution

The fourth proportional to 321,355.40, 482,033.10 and 238,411.40 is: 357,617.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,355.40 : 482,033.10 = 238,411.40 : x
  2. Step 2: Convert to fraction form
    321,355.40/482,033.10 = 238,411.40/x
  3. Step 3: Cross multiply
    321,355.40x = 482,033.10 × 238,411.40
  4. Step 4: Simplify right side
    321,355.40x = 114,922,186,217.34
  5. Step 5: Solve for x
    x = 114,922,186,217.34/321,355.40
  6. Step 6: Final answer
    x = 357,617.10

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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.