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Finding the Fourth Proportional to 314,222.72, 471,366.88 and 100,936.80

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Solution

The fourth proportional to 314,222.72, 471,366.88 and 100,936.80 is: 151,415.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,222.72 : 471,366.88 = 100,936.80 : x
  2. Step 2: Convert to fraction form
    314,222.72/471,366.88 = 100,936.80/x
  3. Step 3: Cross multiply
    314,222.72x = 471,366.88 × 100,936.80
  4. Step 4: Simplify right side
    314,222.72x = 47,578,264,493.18
  5. Step 5: Solve for x
    x = 47,578,264,493.18/314,222.72
  6. Step 6: Final answer
    x = 151,415.74

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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.