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Finding the Fourth Proportional to 421,779.80, 582,069.18 and 230,801.24

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Solution

The fourth proportional to 421,779.80, 582,069.18 and 230,801.24 is: 318,512.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,779.80 : 582,069.18 = 230,801.24 : x
  2. Step 2: Convert to fraction form
    421,779.80/582,069.18 = 230,801.24/x
  3. Step 3: Cross multiply
    421,779.80x = 582,069.18 × 230,801.24
  4. Step 4: Simplify right side
    421,779.80x = 134,342,288,509.78
  5. Step 5: Solve for x
    x = 134,342,288,509.78/421,779.80
  6. Step 6: Final answer
    x = 318,512.86

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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.