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Finding the Fourth Proportional to 354,042.04, 488,510.42 and 208,893.48

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Solution

The fourth proportional to 354,042.04, 488,510.42 and 208,893.48 is: 288,233.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,042.04 : 488,510.42 = 208,893.48 : x
  2. Step 2: Convert to fraction form
    354,042.04/488,510.42 = 208,893.48/x
  3. Step 3: Cross multiply
    354,042.04x = 488,510.42 × 208,893.48
  4. Step 4: Simplify right side
    354,042.04x = 102,046,641,650.06
  5. Step 5: Solve for x
    x = 102,046,641,650.06/354,042.04
  6. Step 6: Final answer
    x = 288,233.12

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1.5x scale

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.