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Finding the Fourth Proportional to 311,193.20, 429,500.39 and 180,352.59

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Solution

The fourth proportional to 311,193.20, 429,500.39 and 180,352.59 is: 248,917.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,193.20 : 429,500.39 = 180,352.59 : x
  2. Step 2: Convert to fraction form
    311,193.20/429,500.39 = 180,352.59/x
  3. Step 3: Cross multiply
    311,193.20x = 429,500.39 × 180,352.59
  4. Step 4: Simplify right side
    311,193.20x = 77,461,506,840.75
  5. Step 5: Solve for x
    x = 77,461,506,840.75/311,193.20
  6. Step 6: Final answer
    x = 248,917.74

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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.