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Finding the Fourth Proportional to 563,006.09, 776,961.42 and 321,311.21

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Solution

The fourth proportional to 563,006.09, 776,961.42 and 321,311.21 is: 443,416.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,006.09 : 776,961.42 = 321,311.21 : x
  2. Step 2: Convert to fraction form
    563,006.09/776,961.42 = 321,311.21/x
  3. Step 3: Cross multiply
    563,006.09x = 776,961.42 × 321,311.21
  4. Step 4: Simplify right side
    563,006.09x = 249,646,408,893.79
  5. Step 5: Solve for x
    x = 249,646,408,893.79/563,006.09
  6. Step 6: Final answer
    x = 443,416.89

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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.