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Finding the Fourth Proportional to 407,681.66, 562,608.09 and 223,918.98

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Solution

The fourth proportional to 407,681.66, 562,608.09 and 223,918.98 is: 309,012.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,681.66 : 562,608.09 = 223,918.98 : x
  2. Step 2: Convert to fraction form
    407,681.66/562,608.09 = 223,918.98/x
  3. Step 3: Cross multiply
    407,681.66x = 562,608.09 × 223,918.98
  4. Step 4: Simplify right side
    407,681.66x = 125,978,629,652.55
  5. Step 5: Solve for x
    x = 125,978,629,652.55/407,681.66
  6. Step 6: Final answer
    x = 309,012.26

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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.