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Finding the Fourth Proportional to 563,413.59, 777,481.82 and 321,648.94

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Solution

The fourth proportional to 563,413.59, 777,481.82 and 321,648.94 is: 443,859.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,413.59 : 777,481.82 = 321,648.94 : x
  2. Step 2: Convert to fraction form
    563,413.59/777,481.82 = 321,648.94/x
  3. Step 3: Cross multiply
    563,413.59x = 777,481.82 × 321,648.94
  4. Step 4: Simplify right side
    563,413.59x = 250,076,199,384.86
  5. Step 5: Solve for x
    x = 250,076,199,384.86/563,413.59
  6. Step 6: Final answer
    x = 443,859.02

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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.