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Finding the Fourth Proportional to 285,405.80, 427,719.90 and 190,365.80

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Solution

The fourth proportional to 285,405.80, 427,719.90 and 190,365.80 is: 285,289.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,405.80 : 427,719.90 = 190,365.80 : x
  2. Step 2: Convert to fraction form
    285,405.80/427,719.90 = 190,365.80/x
  3. Step 3: Cross multiply
    285,405.80x = 427,719.90 × 190,365.80
  4. Step 4: Simplify right side
    285,405.80x = 81,423,240,939.42
  5. Step 5: Solve for x
    x = 81,423,240,939.42/285,405.80
  6. Step 6: Final answer
    x = 285,289.37

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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.