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Finding the Fourth Proportional to 299,256.93, 412,850.66 and 208,666.53

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Solution

The fourth proportional to 299,256.93, 412,850.66 and 208,666.53 is: 287,873.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,256.93 : 412,850.66 = 208,666.53 : x
  2. Step 2: Convert to fraction form
    299,256.93/412,850.66 = 208,666.53/x
  3. Step 3: Cross multiply
    299,256.93x = 412,850.66 × 208,666.53
  4. Step 4: Simplify right side
    299,256.93x = 86,148,113,587.08
  5. Step 5: Solve for x
    x = 86,148,113,587.08/299,256.93
  6. Step 6: Final answer
    x = 287,873.41

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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.