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Finding the Fourth Proportional to 307,315.36, 424,056.72 and 171,316

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Solution

The fourth proportional to 307,315.36, 424,056.72 and 171,316 is: 236,394.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,315.36 : 424,056.72 = 171,316 : x
  2. Step 2: Convert to fraction form
    307,315.36/424,056.72 = 171,316/x
  3. Step 3: Cross multiply
    307,315.36x = 424,056.72 × 171,316
  4. Step 4: Simplify right side
    307,315.36x = 72,647,701,043.52
  5. Step 5: Solve for x
    x = 72,647,701,043.52/307,315.36
  6. Step 6: Final answer
    x = 236,394.63

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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.