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Finding the Fourth Proportional to 213,188.80, 319,783.20 and 153,313.60

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Solution

The fourth proportional to 213,188.80, 319,783.20 and 153,313.60 is: 229,970.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,188.80 : 319,783.20 = 153,313.60 : x
  2. Step 2: Convert to fraction form
    213,188.80/319,783.20 = 153,313.60/x
  3. Step 3: Cross multiply
    213,188.80x = 319,783.20 × 153,313.60
  4. Step 4: Simplify right side
    213,188.80x = 49,027,113,611.52
  5. Step 5: Solve for x
    x = 49,027,113,611.52/213,188.80
  6. Step 6: Final answer
    x = 229,970.40

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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.