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Finding the Fourth Proportional to 340,670.89, 470,021.76 and 197,403.25

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Solution

The fourth proportional to 340,670.89, 470,021.76 and 197,403.25 is: 272,356.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,670.89 : 470,021.76 = 197,403.25 : x
  2. Step 2: Convert to fraction form
    340,670.89/470,021.76 = 197,403.25/x
  3. Step 3: Cross multiply
    340,670.89x = 470,021.76 × 197,403.25
  4. Step 4: Simplify right side
    340,670.89x = 92,783,822,994.72
  5. Step 5: Solve for x
    x = 92,783,822,994.72/340,670.89
  6. Step 6: Final answer
    x = 272,356.18

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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.