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Finding the Fourth Proportional to 298,413, 412,159.86 and 197,636.04

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Solution

The fourth proportional to 298,413, 412,159.86 and 197,636.04 is: 272,969.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,413 : 412,159.86 = 197,636.04 : x
  2. Step 2: Convert to fraction form
    298,413/412,159.86 = 197,636.04/x
  3. Step 3: Cross multiply
    298,413x = 412,159.86 × 197,636.04
  4. Step 4: Simplify right side
    298,413x = 81,457,642,577.35
  5. Step 5: Solve for x
    x = 81,457,642,577.35/298,413
  6. Step 6: Final answer
    x = 272,969.48

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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.