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Finding the Fourth Proportional to 289,853.90, 434,673.93 and 100,265.30

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Solution

The fourth proportional to 289,853.90, 434,673.93 and 100,265.30 is: 150,360.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,853.90 : 434,673.93 = 100,265.30 : x
  2. Step 2: Convert to fraction form
    289,853.90/434,673.93 = 100,265.30/x
  3. Step 3: Cross multiply
    289,853.90x = 434,673.93 × 100,265.30
  4. Step 4: Simplify right side
    289,853.90x = 43,582,711,993.63
  5. Step 5: Solve for x
    x = 43,582,711,993.63/289,853.90
  6. Step 6: Final answer
    x = 150,360.96

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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.