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Finding the Fourth Proportional to 665,175, 997,771.14 and 221,943

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Solution

The fourth proportional to 665,175, 997,771.14 and 221,943 is: 332,917.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,175 : 997,771.14 = 221,943 : x
  2. Step 2: Convert to fraction form
    665,175/997,771.14 = 221,943/x
  3. Step 3: Cross multiply
    665,175x = 997,771.14 × 221,943
  4. Step 4: Simplify right side
    665,175x = 221,448,320,125.02
  5. Step 5: Solve for x
    x = 221,448,320,125.02/665,175
  6. Step 6: Final answer
    x = 332,917.38

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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.