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Finding the Fourth Proportional to 208,055.90, 312,083.85 and 202,223.90

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Solution

The fourth proportional to 208,055.90, 312,083.85 and 202,223.90 is: 303,335.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,055.90 : 312,083.85 = 202,223.90 : x
  2. Step 2: Convert to fraction form
    208,055.90/312,083.85 = 202,223.90/x
  3. Step 3: Cross multiply
    208,055.90x = 312,083.85 × 202,223.90
  4. Step 4: Simplify right side
    208,055.90x = 63,110,813,274.02
  5. Step 5: Solve for x
    x = 63,110,813,274.02/208,055.90
  6. Step 6: Final answer
    x = 303,335.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.