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Finding the Fourth Proportional to 371,602.78, 512,814.54 and 201,836.98

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Solution

The fourth proportional to 371,602.78, 512,814.54 and 201,836.98 is: 278,536.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,602.78 : 512,814.54 = 201,836.98 : x
  2. Step 2: Convert to fraction form
    371,602.78/512,814.54 = 201,836.98/x
  3. Step 3: Cross multiply
    371,602.78x = 512,814.54 × 201,836.98
  4. Step 4: Simplify right side
    371,602.78x = 103,504,938,053.69
  5. Step 5: Solve for x
    x = 103,504,938,053.69/371,602.78
  6. Step 6: Final answer
    x = 278,536.50

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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.