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Finding the Fourth Proportional to 213,329.60, 319,702.80 and 142,049.60

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Solution

The fourth proportional to 213,329.60, 319,702.80 and 142,049.60 is: 212,880.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,329.60 : 319,702.80 = 142,049.60 : x
  2. Step 2: Convert to fraction form
    213,329.60/319,702.80 = 142,049.60/x
  3. Step 3: Cross multiply
    213,329.60x = 319,702.80 × 142,049.60
  4. Step 4: Simplify right side
    213,329.60x = 45,413,654,858.88
  5. Step 5: Solve for x
    x = 45,413,654,858.88/213,329.60
  6. Step 6: Final answer
    x = 212,880.23

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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.