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Finding the Fourth Proportional to 289,365.68, 434,064.90 and 99,834.78

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Solution

The fourth proportional to 289,365.68, 434,064.90 and 99,834.78 is: 149,757.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,365.68 : 434,064.90 = 99,834.78 : x
  2. Step 2: Convert to fraction form
    289,365.68/434,064.90 = 99,834.78/x
  3. Step 3: Cross multiply
    289,365.68x = 434,064.90 × 99,834.78
  4. Step 4: Simplify right side
    289,365.68x = 43,334,773,797.22
  5. Step 5: Solve for x
    x = 43,334,773,797.22/289,365.68
  6. Step 6: Final answer
    x = 149,757.82

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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.