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Finding the Fourth Proportional to 311,000.64, 429,147.60 and 175,032.30

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Solution

The fourth proportional to 311,000.64, 429,147.60 and 175,032.30 is: 241,525.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,000.64 : 429,147.60 = 175,032.30 : x
  2. Step 2: Convert to fraction form
    311,000.64/429,147.60 = 175,032.30/x
  3. Step 3: Cross multiply
    311,000.64x = 429,147.60 × 175,032.30
  4. Step 4: Simplify right side
    311,000.64x = 75,114,691,467.48
  5. Step 5: Solve for x
    x = 75,114,691,467.48/311,000.64
  6. Step 6: Final answer
    x = 241,525.84

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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.