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Finding the Fourth Proportional to 1,131,178, 1,696,767 and 343,210

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Solution

The fourth proportional to 1,131,178, 1,696,767 and 343,210 is: 514,815

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131,178 : 1,696,767 = 343,210 : x
  2. Step 2: Convert to fraction form
    1,131,178/1,696,767 = 343,210/x
  3. Step 3: Cross multiply
    1,131,178x = 1,696,767 × 343,210
  4. Step 4: Simplify right side
    1,131,178x = 582,347,402,070
  5. Step 5: Solve for x
    x = 582,347,402,070/1,131,178
  6. Step 6: Final answer
    x = 514,815

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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.