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Finding the Fourth Proportional to 321,698.64, 482,470.20 and 134,850

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Solution

The fourth proportional to 321,698.64, 482,470.20 and 134,850 is: 202,242.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,698.64 : 482,470.20 = 134,850 : x
  2. Step 2: Convert to fraction form
    321,698.64/482,470.20 = 134,850/x
  3. Step 3: Cross multiply
    321,698.64x = 482,470.20 × 134,850
  4. Step 4: Simplify right side
    321,698.64x = 65,061,106,470
  5. Step 5: Solve for x
    x = 65,061,106,470/321,698.64
  6. Step 6: Final answer
    x = 202,242.40

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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.