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Finding the Fourth Proportional to 315,270.50, 435,083.80 and 172,038.41

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Solution

The fourth proportional to 315,270.50, 435,083.80 and 172,038.41 is: 237,418.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,270.50 : 435,083.80 = 172,038.41 : x
  2. Step 2: Convert to fraction form
    315,270.50/435,083.80 = 172,038.41/x
  3. Step 3: Cross multiply
    315,270.50x = 435,083.80 × 172,038.41
  4. Step 4: Simplify right side
    315,270.50x = 74,851,122,563.24
  5. Step 5: Solve for x
    x = 74,851,122,563.24/315,270.50
  6. Step 6: Final answer
    x = 237,418.73

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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.