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Finding the Fourth Proportional to 456,144.67, 684,328.59 and 321,471.50

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Solution

The fourth proportional to 456,144.67, 684,328.59 and 321,471.50 is: 482,285.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,144.67 : 684,328.59 = 321,471.50 : x
  2. Step 2: Convert to fraction form
    456,144.67/684,328.59 = 321,471.50/x
  3. Step 3: Cross multiply
    456,144.67x = 684,328.59 × 321,471.50
  4. Step 4: Simplify right side
    456,144.67x = 219,992,138,320.19
  5. Step 5: Solve for x
    x = 219,992,138,320.19/456,144.67
  6. Step 6: Final answer
    x = 482,285.89

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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.