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Finding the Fourth Proportional to 354,497.08, 489,186.48 and 201,514

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Solution

The fourth proportional to 354,497.08, 489,186.48 and 201,514 is: 278,078.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,497.08 : 489,186.48 = 201,514 : x
  2. Step 2: Convert to fraction form
    354,497.08/489,186.48 = 201,514/x
  3. Step 3: Cross multiply
    354,497.08x = 489,186.48 × 201,514
  4. Step 4: Simplify right side
    354,497.08x = 98,577,924,330.72
  5. Step 5: Solve for x
    x = 98,577,924,330.72/354,497.08
  6. Step 6: Final answer
    x = 278,078.24

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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.