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Finding the Fourth Proportional to 262,899.20, 393,830.40 and 157,404.80

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Solution

The fourth proportional to 262,899.20, 393,830.40 and 157,404.80 is: 235,796.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,899.20 : 393,830.40 = 157,404.80 : x
  2. Step 2: Convert to fraction form
    262,899.20/393,830.40 = 157,404.80/x
  3. Step 3: Cross multiply
    262,899.20x = 393,830.40 × 157,404.80
  4. Step 4: Simplify right side
    262,899.20x = 61,990,795,345.92
  5. Step 5: Solve for x
    x = 61,990,795,345.92/262,899.20
  6. Step 6: Final answer
    x = 235,796.82

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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.