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Finding the Fourth Proportional to 321,914.40, 482,871.60 and 238,970.40

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Solution

The fourth proportional to 321,914.40, 482,871.60 and 238,970.40 is: 358,455.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,914.40 : 482,871.60 = 238,970.40 : x
  2. Step 2: Convert to fraction form
    321,914.40/482,871.60 = 238,970.40/x
  3. Step 3: Cross multiply
    321,914.40x = 482,871.60 × 238,970.40
  4. Step 4: Simplify right side
    321,914.40x = 115,392,019,400.64
  5. Step 5: Solve for x
    x = 115,392,019,400.64/321,914.40
  6. Step 6: Final answer
    x = 358,455.60

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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.