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Finding the Fourth Proportional to 400,288.50, 552,415.41 and 221,440.50

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Solution

The fourth proportional to 400,288.50, 552,415.41 and 221,440.50 is: 305,597.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,288.50 : 552,415.41 = 221,440.50 : x
  2. Step 2: Convert to fraction form
    400,288.50/552,415.41 = 221,440.50/x
  3. Step 3: Cross multiply
    400,288.50x = 552,415.41 × 221,440.50
  4. Step 4: Simplify right side
    400,288.50x = 122,327,144,598.11
  5. Step 5: Solve for x
    x = 122,327,144,598.11/400,288.50
  6. Step 6: Final answer
    x = 305,597.45

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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.