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Finding the Fourth Proportional to 405,146.40, 559,099.76 and 223,858.40

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Solution

The fourth proportional to 405,146.40, 559,099.76 and 223,858.40 is: 308,923.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,146.40 : 559,099.76 = 223,858.40 : x
  2. Step 2: Convert to fraction form
    405,146.40/559,099.76 = 223,858.40/x
  3. Step 3: Cross multiply
    405,146.40x = 559,099.76 × 223,858.40
  4. Step 4: Simplify right side
    405,146.40x = 125,159,177,713.98
  5. Step 5: Solve for x
    x = 125,159,177,713.98/405,146.40
  6. Step 6: Final answer
    x = 308,923.34

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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.