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Finding the Fourth Proportional to 376,564, 565,079.44 and 218,866.72

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Solution

The fourth proportional to 376,564, 565,079.44 and 218,866.72 is: 328,435.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,564 : 565,079.44 = 218,866.72 : x
  2. Step 2: Convert to fraction form
    376,564/565,079.44 = 218,866.72/x
  3. Step 3: Cross multiply
    376,564x = 565,079.44 × 218,866.72
  4. Step 4: Simplify right side
    376,564x = 123,677,083,572.24
  5. Step 5: Solve for x
    x = 123,677,083,572.24/376,564
  6. Step 6: Final answer
    x = 328,435.76

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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.