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Finding the Fourth Proportional to 321,999.17, 482,947.65 and 193,985.01

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Solution

The fourth proportional to 321,999.17, 482,947.65 and 193,985.01 is: 290,946.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,999.17 : 482,947.65 = 193,985.01 : x
  2. Step 2: Convert to fraction form
    321,999.17/482,947.65 = 193,985.01/x
  3. Step 3: Cross multiply
    321,999.17x = 482,947.65 × 193,985.01
  4. Step 4: Simplify right side
    321,999.17x = 93,684,604,714.73
  5. Step 5: Solve for x
    x = 93,684,604,714.73/321,999.17
  6. Step 6: Final answer
    x = 290,946.73

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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.