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Finding the Fourth Proportional to 315,750, 473,858.76 and 149,538.48

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Solution

The fourth proportional to 315,750, 473,858.76 and 149,538.48 is: 224,418.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,750 : 473,858.76 = 149,538.48 : x
  2. Step 2: Convert to fraction form
    315,750/473,858.76 = 149,538.48/x
  3. Step 3: Cross multiply
    315,750x = 473,858.76 × 149,538.48
  4. Step 4: Simplify right side
    315,750x = 70,860,118,705.08
  5. Step 5: Solve for x
    x = 70,860,118,705.08/315,750
  6. Step 6: Final answer
    x = 224,418.43

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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.