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Finding the Fourth Proportional to 305,210.43, 455,959.13 and 197,719.38

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Solution

The fourth proportional to 305,210.43, 455,959.13 and 197,719.38 is: 295,376.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,210.43 : 455,959.13 = 197,719.38 : x
  2. Step 2: Convert to fraction form
    305,210.43/455,959.13 = 197,719.38/x
  3. Step 3: Cross multiply
    305,210.43x = 455,959.13 × 197,719.38
  4. Step 4: Simplify right side
    305,210.43x = 90,151,955,500.34
  5. Step 5: Solve for x
    x = 90,151,955,500.34/305,210.43
  6. Step 6: Final answer
    x = 295,376.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.