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Finding the Fourth Proportional to 321,970.40, 482,566.80 and 164,117.60

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Solution

The fourth proportional to 321,970.40, 482,566.80 and 164,117.60 is: 245,978.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,970.40 : 482,566.80 = 164,117.60 : x
  2. Step 2: Convert to fraction form
    321,970.40/482,566.80 = 164,117.60/x
  3. Step 3: Cross multiply
    321,970.40x = 482,566.80 × 164,117.60
  4. Step 4: Simplify right side
    321,970.40x = 79,197,705,055.68
  5. Step 5: Solve for x
    x = 79,197,705,055.68/321,970.40
  6. Step 6: Final answer
    x = 245,978.22

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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.