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Finding the Fourth Proportional to 205,074.90, 307,612.35 and 202,310.10

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Solution

The fourth proportional to 205,074.90, 307,612.35 and 202,310.10 is: 303,465.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,074.90 : 307,612.35 = 202,310.10 : x
  2. Step 2: Convert to fraction form
    205,074.90/307,612.35 = 202,310.10/x
  3. Step 3: Cross multiply
    205,074.90x = 307,612.35 × 202,310.10
  4. Step 4: Simplify right side
    205,074.90x = 62,233,085,289.74
  5. Step 5: Solve for x
    x = 62,233,085,289.74/205,074.90
  6. Step 6: Final answer
    x = 303,465.15

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