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Finding the Fourth Proportional to 644,762, 889,780.79 and 354,400.42

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Solution

The fourth proportional to 644,762, 889,780.79 and 354,400.42 is: 489,077.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,762 : 889,780.79 = 354,400.42 : x
  2. Step 2: Convert to fraction form
    644,762/889,780.79 = 354,400.42/x
  3. Step 3: Cross multiply
    644,762x = 889,780.79 × 354,400.42
  4. Step 4: Simplify right side
    644,762x = 315,338,685,683.93
  5. Step 5: Solve for x
    x = 315,338,685,683.93/644,762
  6. Step 6: Final answer
    x = 489,077.65

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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.