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Finding the Fourth Proportional to 311,410.42, 429,744.41 and 175,488.02

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Solution

The fourth proportional to 311,410.42, 429,744.41 and 175,488.02 is: 242,172.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,410.42 : 429,744.41 = 175,488.02 : x
  2. Step 2: Convert to fraction form
    311,410.42/429,744.41 = 175,488.02/x
  3. Step 3: Cross multiply
    311,410.42x = 429,744.41 × 175,488.02
  4. Step 4: Simplify right side
    311,410.42x = 75,414,995,353.99
  5. Step 5: Solve for x
    x = 75,414,995,353.99/311,410.42
  6. Step 6: Final answer
    x = 242,172.35

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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.