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Finding the Fourth Proportional to 405,447.96, 559,500.62 and 221,683.16

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Solution

The fourth proportional to 405,447.96, 559,500.62 and 221,683.16 is: 305,913.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,447.96 : 559,500.62 = 221,683.16 : x
  2. Step 2: Convert to fraction form
    405,447.96/559,500.62 = 221,683.16/x
  3. Step 3: Cross multiply
    405,447.96x = 559,500.62 × 221,683.16
  4. Step 4: Simplify right side
    405,447.96x = 124,031,865,463.56
  5. Step 5: Solve for x
    x = 124,031,865,463.56/405,447.96
  6. Step 6: Final answer
    x = 305,913.16

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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.