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Finding the Fourth Proportional to 371,765.81, 513,039.95 and 201,999.93

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Solution

The fourth proportional to 371,765.81, 513,039.95 and 201,999.93 is: 278,761.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,765.81 : 513,039.95 = 201,999.93 : x
  2. Step 2: Convert to fraction form
    371,765.81/513,039.95 = 201,999.93/x
  3. Step 3: Cross multiply
    371,765.81x = 513,039.95 × 201,999.93
  4. Step 4: Simplify right side
    371,765.81x = 103,634,032,977.20
  5. Step 5: Solve for x
    x = 103,634,032,977.20/371,765.81
  6. Step 6: Final answer
    x = 278,761.61

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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.