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Finding the Fourth Proportional to 354,044.04, 488,513.18 and 208,895.48

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Solution

The fourth proportional to 354,044.04, 488,513.18 and 208,895.48 is: 288,235.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,044.04 : 488,513.18 = 208,895.48 : x
  2. Step 2: Convert to fraction form
    354,044.04/488,513.18 = 208,895.48/x
  3. Step 3: Cross multiply
    354,044.04x = 488,513.18 × 208,895.48
  4. Step 4: Simplify right side
    354,044.04x = 102,048,195,222.43
  5. Step 5: Solve for x
    x = 102,048,195,222.43/354,044.04
  6. Step 6: Final answer
    x = 288,235.88

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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.