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Finding the Fourth Proportional to 1,046,488, 1,569,966 and 381,640

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Solution

The fourth proportional to 1,046,488, 1,569,966 and 381,640 is: 572,545.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046,488 : 1,569,966 = 381,640 : x
  2. Step 2: Convert to fraction form
    1,046,488/1,569,966 = 381,640/x
  3. Step 3: Cross multiply
    1,046,488x = 1,569,966 × 381,640
  4. Step 4: Simplify right side
    1,046,488x = 599,161,824,240
  5. Step 5: Solve for x
    x = 599,161,824,240/1,046,488
  6. Step 6: Final answer
    x = 572,545.34

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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.