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Finding the Fourth Proportional to 644,009.10, 966,016.98 and 377,582.78

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Solution

The fourth proportional to 644,009.10, 966,016.98 and 377,582.78 is: 566,376.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,009.10 : 966,016.98 = 377,582.78 : x
  2. Step 2: Convert to fraction form
    644,009.10/966,016.98 = 377,582.78/x
  3. Step 3: Cross multiply
    644,009.10x = 966,016.98 × 377,582.78
  4. Step 4: Simplify right side
    644,009.10x = 364,751,372,005.52
  5. Step 5: Solve for x
    x = 364,751,372,005.52/644,009.10
  6. Step 6: Final answer
    x = 566,376.11

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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.