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Finding the Fourth Proportional to 271,415.20, 407,511.60 and 153,317.20

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Solution

The fourth proportional to 271,415.20, 407,511.60 and 153,317.20 is: 230,195.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,415.20 : 407,511.60 = 153,317.20 : x
  2. Step 2: Convert to fraction form
    271,415.20/407,511.60 = 153,317.20/x
  3. Step 3: Cross multiply
    271,415.20x = 407,511.60 × 153,317.20
  4. Step 4: Simplify right side
    271,415.20x = 62,478,537,479.52
  5. Step 5: Solve for x
    x = 62,478,537,479.52/271,415.20
  6. Step 6: Final answer
    x = 230,195.43

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1.5x scale

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.