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Finding the Fourth Proportional to 315,074.92, 434,653.32 and 213,136.06

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Solution

The fourth proportional to 315,074.92, 434,653.32 and 213,136.06 is: 294,026.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,074.92 : 434,653.32 = 213,136.06 : x
  2. Step 2: Convert to fraction form
    315,074.92/434,653.32 = 213,136.06/x
  3. Step 3: Cross multiply
    315,074.92x = 434,653.32 × 213,136.06
  4. Step 4: Simplify right side
    315,074.92x = 92,640,296,090.72
  5. Step 5: Solve for x
    x = 92,640,296,090.72/315,074.92
  6. Step 6: Final answer
    x = 294,026.25

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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.