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Finding the Fourth Proportional to 556,091.12, 767,369.51 and 311,033.41

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Solution

The fourth proportional to 556,091.12, 767,369.51 and 311,033.41 is: 429,205.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,091.12 : 767,369.51 = 311,033.41 : x
  2. Step 2: Convert to fraction form
    556,091.12/767,369.51 = 311,033.41/x
  3. Step 3: Cross multiply
    556,091.12x = 767,369.51 × 311,033.41
  4. Step 4: Simplify right side
    556,091.12x = 238,677,555,425.33
  5. Step 5: Solve for x
    x = 238,677,555,425.33/556,091.12
  6. Step 6: Final answer
    x = 429,205.84

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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.