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Finding the Fourth Proportional to 371,686.60, 512,928.12 and 201,920.86

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Solution

The fourth proportional to 371,686.60, 512,928.12 and 201,920.86 is: 278,651.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,686.60 : 512,928.12 = 201,920.86 : x
  2. Step 2: Convert to fraction form
    371,686.60/512,928.12 = 201,920.86/x
  3. Step 3: Cross multiply
    371,686.60x = 512,928.12 × 201,920.86
  4. Step 4: Simplify right side
    371,686.60x = 103,570,887,108.58
  5. Step 5: Solve for x
    x = 103,570,887,108.58/371,686.60
  6. Step 6: Final answer
    x = 278,651.12

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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.