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Finding the Fourth Proportional to 321,969.90, 482,566.05 and 164,117.10

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Solution

The fourth proportional to 321,969.90, 482,566.05 and 164,117.10 is: 245,977.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,969.90 : 482,566.05 = 164,117.10 : x
  2. Step 2: Convert to fraction form
    321,969.90/482,566.05 = 164,117.10/x
  3. Step 3: Cross multiply
    321,969.90x = 482,566.05 × 164,117.10
  4. Step 4: Simplify right side
    321,969.90x = 79,197,340,684.46
  5. Step 5: Solve for x
    x = 79,197,340,684.46/321,969.90
  6. Step 6: Final answer
    x = 245,977.47

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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.