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Finding the Fourth Proportional to 280,823, 421,308.26 and 100,926.58

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Solution

The fourth proportional to 280,823, 421,308.26 and 100,926.58 is: 151,416.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,823 : 421,308.26 = 100,926.58 : x
  2. Step 2: Convert to fraction form
    280,823/421,308.26 = 100,926.58/x
  3. Step 3: Cross multiply
    280,823x = 421,308.26 × 100,926.58
  4. Step 4: Simplify right side
    280,823x = 42,521,201,807.55
  5. Step 5: Solve for x
    x = 42,521,201,807.55/280,823
  6. Step 6: Final answer
    x = 151,416.38

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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.