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Finding the Fourth Proportional to 340,558.41, 469,970.72 and 197,401.49

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Solution

The fourth proportional to 340,558.41, 469,970.72 and 197,401.49 is: 272,414.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,558.41 : 469,970.72 = 197,401.49 : x
  2. Step 2: Convert to fraction form
    340,558.41/469,970.72 = 197,401.49/x
  3. Step 3: Cross multiply
    340,558.41x = 469,970.72 × 197,401.49
  4. Step 4: Simplify right side
    340,558.41x = 92,772,917,047.51
  5. Step 5: Solve for x
    x = 92,772,917,047.51/340,558.41
  6. Step 6: Final answer
    x = 272,414.11

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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.