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Finding the Fourth Proportional to 456,728.40, 684,509.40 and 351,023.40

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Solution

The fourth proportional to 456,728.40, 684,509.40 and 351,023.40 is: 526,086.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,728.40 : 684,509.40 = 351,023.40 : x
  2. Step 2: Convert to fraction form
    456,728.40/684,509.40 = 351,023.40/x
  3. Step 3: Cross multiply
    456,728.40x = 684,509.40 × 351,023.40
  4. Step 4: Simplify right side
    456,728.40x = 240,278,816,919.96
  5. Step 5: Solve for x
    x = 240,278,816,919.96/456,728.40
  6. Step 6: Final answer
    x = 526,086.88

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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.