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Finding the Fourth Proportional to 311,412.42, 429,750.09 and 180,615.42

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Solution

The fourth proportional to 311,412.42, 429,750.09 and 180,615.42 is: 249,249.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,412.42 : 429,750.09 = 180,615.42 : x
  2. Step 2: Convert to fraction form
    311,412.42/429,750.09 = 180,615.42/x
  3. Step 3: Cross multiply
    311,412.42x = 429,750.09 × 180,615.42
  4. Step 4: Simplify right side
    311,412.42x = 77,619,493,000.39
  5. Step 5: Solve for x
    x = 77,619,493,000.39/311,412.42
  6. Step 6: Final answer
    x = 249,249.83

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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.