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Finding the Fourth Proportional to 401,642.34, 553,833.61 and 305,024.32

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Solution

The fourth proportional to 401,642.34, 553,833.61 and 305,024.32 is: 420,604.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,642.34 : 553,833.61 = 305,024.32 : x
  2. Step 2: Convert to fraction form
    401,642.34/553,833.61 = 305,024.32/x
  3. Step 3: Cross multiply
    401,642.34x = 553,833.61 × 305,024.32
  4. Step 4: Simplify right side
    401,642.34x = 168,932,720,283.40
  5. Step 5: Solve for x
    x = 168,932,720,283.40/401,642.34
  6. Step 6: Final answer
    x = 420,604.86

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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.