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Finding the Fourth Proportional to 289,708.98, 434,312.34 and 112,093.80

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Solution

The fourth proportional to 289,708.98, 434,312.34 and 112,093.80 is: 168,043.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,708.98 : 434,312.34 = 112,093.80 : x
  2. Step 2: Convert to fraction form
    289,708.98/434,312.34 = 112,093.80/x
  3. Step 3: Cross multiply
    289,708.98x = 434,312.34 × 112,093.80
  4. Step 4: Simplify right side
    289,708.98x = 48,683,720,577.49
  5. Step 5: Solve for x
    x = 48,683,720,577.49/289,708.98
  6. Step 6: Final answer
    x = 168,043.53

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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.