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Finding the Fourth Proportional to 427,994.31, 642,116.46 and 191,281.62

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Solution

The fourth proportional to 427,994.31, 642,116.46 and 191,281.62 is: 286,978.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,994.31 : 642,116.46 = 191,281.62 : x
  2. Step 2: Convert to fraction form
    427,994.31/642,116.46 = 191,281.62/x
  3. Step 3: Cross multiply
    427,994.31x = 642,116.46 × 191,281.62
  4. Step 4: Simplify right side
    427,994.31x = 122,825,076,697.47
  5. Step 5: Solve for x
    x = 122,825,076,697.47/427,994.31
  6. Step 6: Final answer
    x = 286,978.29

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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.