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Finding the Fourth Proportional to 235,611.20, 353,416.80 and 209,806.40

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Solution

The fourth proportional to 235,611.20, 353,416.80 and 209,806.40 is: 314,709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,611.20 : 353,416.80 = 209,806.40 : x
  2. Step 2: Convert to fraction form
    235,611.20/353,416.80 = 209,806.40/x
  3. Step 3: Cross multiply
    235,611.20x = 353,416.80 × 209,806.40
  4. Step 4: Simplify right side
    235,611.20x = 74,149,106,507.52
  5. Step 5: Solve for x
    x = 74,149,106,507.52/235,611.20
  6. Step 6: Final answer
    x = 314,709.60

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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.