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Finding the Fourth Proportional to 644,278.65, 889,504.10 and 415,230.49

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Solution

The fourth proportional to 644,278.65, 889,504.10 and 415,230.49 is: 573,275.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,278.65 : 889,504.10 = 415,230.49 : x
  2. Step 2: Convert to fraction form
    644,278.65/889,504.10 = 415,230.49/x
  3. Step 3: Cross multiply
    644,278.65x = 889,504.10 × 415,230.49
  4. Step 4: Simplify right side
    644,278.65x = 369,349,223,300.01
  5. Step 5: Solve for x
    x = 369,349,223,300.01/644,278.65
  6. Step 6: Final answer
    x = 573,275.59

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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.