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Finding the Fourth Proportional to 614,964.90, 922,620.15 and 299,432.10

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Solution

The fourth proportional to 614,964.90, 922,620.15 and 299,432.10 is: 449,232.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,964.90 : 922,620.15 = 299,432.10 : x
  2. Step 2: Convert to fraction form
    614,964.90/922,620.15 = 299,432.10/x
  3. Step 3: Cross multiply
    614,964.90x = 922,620.15 × 299,432.10
  4. Step 4: Simplify right side
    614,964.90x = 276,262,089,016.82
  5. Step 5: Solve for x
    x = 276,262,089,016.82/614,964.90
  6. Step 6: Final answer
    x = 449,232.29

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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.