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Finding the Fourth Proportional to 456,181.20, 684,271.80 and 119,221.20

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Solution

The fourth proportional to 456,181.20, 684,271.80 and 119,221.20 is: 178,831.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,181.20 : 684,271.80 = 119,221.20 : x
  2. Step 2: Convert to fraction form
    456,181.20/684,271.80 = 119,221.20/x
  3. Step 3: Cross multiply
    456,181.20x = 684,271.80 × 119,221.20
  4. Step 4: Simplify right side
    456,181.20x = 81,579,705,122.16
  5. Step 5: Solve for x
    x = 81,579,705,122.16/456,181.20
  6. Step 6: Final answer
    x = 178,831.80

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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.