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Finding the Fourth Proportional to 644,356.17, 889,308.50 and 463,666.23

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Solution

The fourth proportional to 644,356.17, 889,308.50 and 463,666.23 is: 639,929.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,356.17 : 889,308.50 = 463,666.23 : x
  2. Step 2: Convert to fraction form
    644,356.17/889,308.50 = 463,666.23/x
  3. Step 3: Cross multiply
    644,356.17x = 889,308.50 × 463,666.23
  4. Step 4: Simplify right side
    644,356.17x = 412,342,317,183.62
  5. Step 5: Solve for x
    x = 412,342,317,183.62/644,356.17
  6. Step 6: Final answer
    x = 639,929.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.