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Finding the Fourth Proportional to 422,394.63, 633,585.12 and 102,549.06

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Solution

The fourth proportional to 422,394.63, 633,585.12 and 102,549.06 is: 153,821.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,394.63 : 633,585.12 = 102,549.06 : x
  2. Step 2: Convert to fraction form
    422,394.63/633,585.12 = 102,549.06/x
  3. Step 3: Cross multiply
    422,394.63x = 633,585.12 × 102,549.06
  4. Step 4: Simplify right side
    422,394.63x = 64,973,558,485.99
  5. Step 5: Solve for x
    x = 64,973,558,485.99/422,394.63
  6. Step 6: Final answer
    x = 153,821.93

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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.