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Finding the Fourth Proportional to 1,696,770, 2,545,155 and 514,818

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Solution

The fourth proportional to 1,696,770, 2,545,155 and 514,818 is: 772,227

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696,770 : 2,545,155 = 514,818 : x
  2. Step 2: Convert to fraction form
    1,696,770/2,545,155 = 514,818/x
  3. Step 3: Cross multiply
    1,696,770x = 2,545,155 × 514,818
  4. Step 4: Simplify right side
    1,696,770x = 1,310,291,606,790
  5. Step 5: Solve for x
    x = 1,310,291,606,790/1,696,770
  6. Step 6: Final answer
    x = 772,227

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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.