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Finding the Fourth Proportional to 289,851.90, 434,670.93 and 100,263.30

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Solution

The fourth proportional to 289,851.90, 434,670.93 and 100,263.30 is: 150,357.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,851.90 : 434,670.93 = 100,263.30 : x
  2. Step 2: Convert to fraction form
    289,851.90/434,670.93 = 100,263.30/x
  3. Step 3: Cross multiply
    289,851.90x = 434,670.93 × 100,263.30
  4. Step 4: Simplify right side
    289,851.90x = 43,581,541,855.87
  5. Step 5: Solve for x
    x = 43,581,541,855.87/289,851.90
  6. Step 6: Final answer
    x = 150,357.97

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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.