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Finding the Fourth Proportional to 311,437.98, 429,784.38 and 168,198.03

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Solution

The fourth proportional to 311,437.98, 429,784.38 and 168,198.03 is: 232,113.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,437.98 : 429,784.38 = 168,198.03 : x
  2. Step 2: Convert to fraction form
    311,437.98/429,784.38 = 168,198.03/x
  3. Step 3: Cross multiply
    311,437.98x = 429,784.38 × 168,198.03
  4. Step 4: Simplify right side
    311,437.98x = 72,288,886,040.77
  5. Step 5: Solve for x
    x = 72,288,886,040.77/311,437.98
  6. Step 6: Final answer
    x = 232,113.26

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1.5x scale

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.