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Finding the Fourth Proportional to 278,298.21, 384,051.43 and 150,973.81

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Solution

The fourth proportional to 278,298.21, 384,051.43 and 150,973.81 is: 208,343.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,298.21 : 384,051.43 = 150,973.81 : x
  2. Step 2: Convert to fraction form
    278,298.21/384,051.43 = 150,973.81/x
  3. Step 3: Cross multiply
    278,298.21x = 384,051.43 × 150,973.81
  4. Step 4: Simplify right side
    278,298.21x = 57,981,706,002.41
  5. Step 5: Solve for x
    x = 57,981,706,002.41/278,298.21
  6. Step 6: Final answer
    x = 208,343.80

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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.