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Finding the Fourth Proportional to 405,060.84, 559,016.64 and 223,788.60

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Solution

The fourth proportional to 405,060.84, 559,016.64 and 223,788.60 is: 308,846.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,060.84 : 559,016.64 = 223,788.60 : x
  2. Step 2: Convert to fraction form
    405,060.84/559,016.64 = 223,788.60/x
  3. Step 3: Cross multiply
    405,060.84x = 559,016.64 × 223,788.60
  4. Step 4: Simplify right side
    405,060.84x = 125,101,551,242.30
  5. Step 5: Solve for x
    x = 125,101,551,242.30/405,060.84
  6. Step 6: Final answer
    x = 308,846.32

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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.