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Finding the Fourth Proportional to 353,827.98, 488,629.64 and 302,544.64

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Solution

The fourth proportional to 353,827.98, 488,629.64 and 302,544.64 is: 417,808.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,827.98 : 488,629.64 = 302,544.64 : x
  2. Step 2: Convert to fraction form
    353,827.98/488,629.64 = 302,544.64/x
  3. Step 3: Cross multiply
    353,827.98x = 488,629.64 × 302,544.64
  4. Step 4: Simplify right side
    353,827.98x = 147,832,278,527.13
  5. Step 5: Solve for x
    x = 147,832,278,527.13/353,827.98
  6. Step 6: Final answer
    x = 417,808.33

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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.