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Finding the Fourth Proportional to 313,878.20, 469,742.10 and 189,308.60

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Solution

The fourth proportional to 313,878.20, 469,742.10 and 189,308.60 is: 283,314.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,878.20 : 469,742.10 = 189,308.60 : x
  2. Step 2: Convert to fraction form
    313,878.20/469,742.10 = 189,308.60/x
  3. Step 3: Cross multiply
    313,878.20x = 469,742.10 × 189,308.60
  4. Step 4: Simplify right side
    313,878.20x = 88,926,219,312.06
  5. Step 5: Solve for x
    x = 88,926,219,312.06/313,878.20
  6. Step 6: Final answer
    x = 283,314.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.