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Finding the Fourth Proportional to 213,083.60, 319,333.80 and 141,803.60

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Solution

The fourth proportional to 213,083.60, 319,333.80 and 141,803.60 is: 212,511.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,083.60 : 319,333.80 = 141,803.60 : x
  2. Step 2: Convert to fraction form
    213,083.60/319,333.80 = 141,803.60/x
  3. Step 3: Cross multiply
    213,083.60x = 319,333.80 × 141,803.60
  4. Step 4: Simplify right side
    213,083.60x = 45,282,682,441.68
  5. Step 5: Solve for x
    x = 45,282,682,441.68/213,083.60
  6. Step 6: Final answer
    x = 212,511.35

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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.