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Finding the Fourth Proportional to 371,550.94, 512,746.23 and 201,785.05

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Solution

The fourth proportional to 371,550.94, 512,746.23 and 201,785.05 is: 278,466.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,550.94 : 512,746.23 = 201,785.05 : x
  2. Step 2: Convert to fraction form
    371,550.94/512,746.23 = 201,785.05/x
  3. Step 3: Cross multiply
    371,550.94x = 512,746.23 × 201,785.05
  4. Step 4: Simplify right side
    371,550.94x = 103,464,523,657.86
  5. Step 5: Solve for x
    x = 103,464,523,657.86/371,550.94
  6. Step 6: Final answer
    x = 278,466.59

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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.