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Finding the Fourth Proportional to 257,980.36, 387,030.54 and 80,477.80

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Solution

The fourth proportional to 257,980.36, 387,030.54 and 80,477.80 is: 120,735.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,980.36 : 387,030.54 = 80,477.80 : x
  2. Step 2: Convert to fraction form
    257,980.36/387,030.54 = 80,477.80/x
  3. Step 3: Cross multiply
    257,980.36x = 387,030.54 × 80,477.80
  4. Step 4: Simplify right side
    257,980.36x = 31,147,366,392.01
  5. Step 5: Solve for x
    x = 31,147,366,392.01/257,980.36
  6. Step 6: Final answer
    x = 120,735.42

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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.