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Finding the Fourth Proportional to 311,000.40, 429,202.26 and 175,047.37

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Solution

The fourth proportional to 311,000.40, 429,202.26 and 175,047.37 is: 241,577.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,000.40 : 429,202.26 = 175,047.37 : x
  2. Step 2: Convert to fraction form
    311,000.40/429,202.26 = 175,047.37/x
  3. Step 3: Cross multiply
    311,000.40x = 429,202.26 × 175,047.37
  4. Step 4: Simplify right side
    311,000.40x = 75,130,723,789.81
  5. Step 5: Solve for x
    x = 75,130,723,789.81/311,000.40
  6. Step 6: Final answer
    x = 241,577.58

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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.