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Finding the Fourth Proportional to 421,813.60, 582,102.71 and 230,826.94

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Solution

The fourth proportional to 421,813.60, 582,102.71 and 230,826.94 is: 318,541.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,813.60 : 582,102.71 = 230,826.94 : x
  2. Step 2: Convert to fraction form
    421,813.60/582,102.71 = 230,826.94/x
  3. Step 3: Cross multiply
    421,813.60x = 582,102.71 × 230,826.94
  4. Step 4: Simplify right side
    421,813.60x = 134,364,987,315.01
  5. Step 5: Solve for x
    x = 134,364,987,315.01/421,813.60
  6. Step 6: Final answer
    x = 318,541.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.