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Finding the Fourth Proportional to 401,644.34, 553,836.38 and 305,026.32

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Solution

The fourth proportional to 401,644.34, 553,836.38 and 305,026.32 is: 420,607.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,644.34 : 553,836.38 = 305,026.32 : x
  2. Step 2: Convert to fraction form
    401,644.34/553,836.38 = 305,026.32/x
  3. Step 3: Cross multiply
    401,644.34x = 553,836.38 × 305,026.32
  4. Step 4: Simplify right side
    401,644.34x = 168,934,672,873.52
  5. Step 5: Solve for x
    x = 168,934,672,873.52/401,644.34
  6. Step 6: Final answer
    x = 420,607.63

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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.