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Finding the Fourth Proportional to 405,660.81, 559,788.93 and 224,362.16

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Solution

The fourth proportional to 405,660.81, 559,788.93 and 224,362.16 is: 309,607.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,660.81 : 559,788.93 = 224,362.16 : x
  2. Step 2: Convert to fraction form
    405,660.81/559,788.93 = 224,362.16/x
  3. Step 3: Cross multiply
    405,660.81x = 559,788.93 × 224,362.16
  4. Step 4: Simplify right side
    405,660.81x = 125,595,450,679.94
  5. Step 5: Solve for x
    x = 125,595,450,679.94/405,660.81
  6. Step 6: Final answer
    x = 309,607.06

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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.