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Finding the Fourth Proportional to 276,806.42, 382,000.47 and 169,374.50

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Solution

The fourth proportional to 276,806.42, 382,000.47 and 169,374.50 is: 233,741.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,806.42 : 382,000.47 = 169,374.50 : x
  2. Step 2: Convert to fraction form
    276,806.42/382,000.47 = 169,374.50/x
  3. Step 3: Cross multiply
    276,806.42x = 382,000.47 × 169,374.50
  4. Step 4: Simplify right side
    276,806.42x = 64,701,138,606.02
  5. Step 5: Solve for x
    x = 64,701,138,606.02/276,806.42
  6. Step 6: Final answer
    x = 233,741.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.