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Finding the Fourth Proportional to 209,696.79, 314,234.13 and 154,020.63

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Solution

The fourth proportional to 209,696.79, 314,234.13 and 154,020.63 is: 230,802.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,696.79 : 314,234.13 = 154,020.63 : x
  2. Step 2: Convert to fraction form
    209,696.79/314,234.13 = 154,020.63/x
  3. Step 3: Cross multiply
    209,696.79x = 314,234.13 × 154,020.63
  4. Step 4: Simplify right side
    209,696.79x = 48,398,538,670.10
  5. Step 5: Solve for x
    x = 48,398,538,670.10/209,696.79
  6. Step 6: Final answer
    x = 230,802.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.