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Finding the Fourth Proportional to 429,202.56, 643,076.16 and 262,642.56

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Solution

The fourth proportional to 429,202.56, 643,076.16 and 262,642.56 is: 393,518.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,202.56 : 643,076.16 = 262,642.56 : x
  2. Step 2: Convert to fraction form
    429,202.56/643,076.16 = 262,642.56/x
  3. Step 3: Cross multiply
    429,202.56x = 643,076.16 × 262,642.56
  4. Step 4: Simplify right side
    429,202.56x = 168,899,168,937.37
  5. Step 5: Solve for x
    x = 168,899,168,937.37/429,202.56
  6. Step 6: Final answer
    x = 393,518.55

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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.