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Finding the Fourth Proportional to 409,896, 565,656.48 and 221,480

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Solution

The fourth proportional to 409,896, 565,656.48 and 221,480 is: 305,642.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,896 : 565,656.48 = 221,480 : x
  2. Step 2: Convert to fraction form
    409,896/565,656.48 = 221,480/x
  3. Step 3: Cross multiply
    409,896x = 565,656.48 × 221,480
  4. Step 4: Simplify right side
    409,896x = 125,281,597,190.40
  5. Step 5: Solve for x
    x = 125,281,597,190.40/409,896
  6. Step 6: Final answer
    x = 305,642.40

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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.