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Finding the Fourth Proportional to 342,548.64, 513,634.32 and 105,825.60

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Solution

The fourth proportional to 342,548.64, 513,634.32 and 105,825.60 is: 158,680.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,548.64 : 513,634.32 = 105,825.60 : x
  2. Step 2: Convert to fraction form
    342,548.64/513,634.32 = 105,825.60/x
  3. Step 3: Cross multiply
    342,548.64x = 513,634.32 × 105,825.60
  4. Step 4: Simplify right side
    342,548.64x = 54,355,660,094.59
  5. Step 5: Solve for x
    x = 54,355,660,094.59/342,548.64
  6. Step 6: Final answer
    x = 158,680.12

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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.