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Finding the Fourth Proportional to 405,338.48, 559,290.12 and 254,367.44

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Solution

The fourth proportional to 405,338.48, 559,290.12 and 254,367.44 is: 350,978.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,338.48 : 559,290.12 = 254,367.44 : x
  2. Step 2: Convert to fraction form
    405,338.48/559,290.12 = 254,367.44/x
  3. Step 3: Cross multiply
    405,338.48x = 559,290.12 × 254,367.44
  4. Step 4: Simplify right side
    405,338.48x = 142,265,196,041.69
  5. Step 5: Solve for x
    x = 142,265,196,041.69/405,338.48
  6. Step 6: Final answer
    x = 350,978.76

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1.5x scale

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.