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Finding the Fourth Proportional to 401,645.34, 553,837.76 and 305,027.32

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Solution

The fourth proportional to 401,645.34, 553,837.76 and 305,027.32 is: 420,609.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,645.34 : 553,837.76 = 305,027.32 : x
  2. Step 2: Convert to fraction form
    401,645.34/553,837.76 = 305,027.32/x
  3. Step 3: Cross multiply
    401,645.34x = 553,837.76 × 305,027.32
  4. Step 4: Simplify right side
    401,645.34x = 168,935,647,647.60
  5. Step 5: Solve for x
    x = 168,935,647,647.60/401,645.34
  6. Step 6: Final answer
    x = 420,609.01

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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.