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Finding the Fourth Proportional to 301,143.28, 450,925.80 and 211,913.68

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Solution

The fourth proportional to 301,143.28, 450,925.80 and 211,913.68 is: 317,315.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,143.28 : 450,925.80 = 211,913.68 : x
  2. Step 2: Convert to fraction form
    301,143.28/450,925.80 = 211,913.68/x
  3. Step 3: Cross multiply
    301,143.28x = 450,925.80 × 211,913.68
  4. Step 4: Simplify right side
    301,143.28x = 95,557,345,684.94
  5. Step 5: Solve for x
    x = 95,557,345,684.94/301,143.28
  6. Step 6: Final answer
    x = 317,315.22

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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.