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Finding the Fourth Proportional to 278,489.34, 384,315.71 and 151,165.04

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Solution

The fourth proportional to 278,489.34, 384,315.71 and 151,165.04 is: 208,607.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,489.34 : 384,315.71 = 151,165.04 : x
  2. Step 2: Convert to fraction form
    278,489.34/384,315.71 = 151,165.04/x
  3. Step 3: Cross multiply
    278,489.34x = 384,315.71 × 151,165.04
  4. Step 4: Simplify right side
    278,489.34x = 58,095,096,997.37
  5. Step 5: Solve for x
    x = 58,095,096,997.37/278,489.34
  6. Step 6: Final answer
    x = 208,607.97

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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.