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Finding the Fourth Proportional to 405,122.71, 559,080.61 and 223,846.32

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Solution

The fourth proportional to 405,122.71, 559,080.61 and 223,846.32 is: 308,914.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,122.71 : 559,080.61 = 223,846.32 : x
  2. Step 2: Convert to fraction form
    405,122.71/559,080.61 = 223,846.32/x
  3. Step 3: Cross multiply
    405,122.71x = 559,080.61 × 223,846.32
  4. Step 4: Simplify right side
    405,122.71x = 125,148,137,131.86
  5. Step 5: Solve for x
    x = 125,148,137,131.86/405,122.71
  6. Step 6: Final answer
    x = 308,914.15

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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.