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Finding the Fourth Proportional to 304,955.52, 420,832.80 and 191,970.24

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Solution

The fourth proportional to 304,955.52, 420,832.80 and 191,970.24 is: 264,915.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,955.52 : 420,832.80 = 191,970.24 : x
  2. Step 2: Convert to fraction form
    304,955.52/420,832.80 = 191,970.24/x
  3. Step 3: Cross multiply
    304,955.52x = 420,832.80 × 191,970.24
  4. Step 4: Simplify right side
    304,955.52x = 80,787,373,615.87
  5. Step 5: Solve for x
    x = 80,787,373,615.87/304,955.52
  6. Step 6: Final answer
    x = 264,915.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.