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Finding the Fourth Proportional to 1,424,574, 2,136,861 and 427,302

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Solution

The fourth proportional to 1,424,574, 2,136,861 and 427,302 is: 640,953

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424,574 : 2,136,861 = 427,302 : x
  2. Step 2: Convert to fraction form
    1,424,574/2,136,861 = 427,302/x
  3. Step 3: Cross multiply
    1,424,574x = 2,136,861 × 427,302
  4. Step 4: Simplify right side
    1,424,574x = 913,084,979,022
  5. Step 5: Solve for x
    x = 913,084,979,022/1,424,574
  6. Step 6: Final answer
    x = 640,953

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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.