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Finding the Fourth Proportional to 456,030, 684,135.72 and 140,473.44

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Solution

The fourth proportional to 456,030, 684,135.72 and 140,473.44 is: 210,738.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,030 : 684,135.72 = 140,473.44 : x
  2. Step 2: Convert to fraction form
    456,030/684,135.72 = 140,473.44/x
  3. Step 3: Cross multiply
    456,030x = 684,135.72 × 140,473.44
  4. Step 4: Simplify right side
    456,030x = 96,102,898,015.28
  5. Step 5: Solve for x
    x = 96,102,898,015.28/456,030
  6. Step 6: Final answer
    x = 210,738.10

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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.