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Finding the Fourth Proportional to 419,493.24, 578,909.61 and 228,506.22

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Solution

The fourth proportional to 419,493.24, 578,909.61 and 228,506.22 is: 315,343.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,493.24 : 578,909.61 = 228,506.22 : x
  2. Step 2: Convert to fraction form
    419,493.24/578,909.61 = 228,506.22/x
  3. Step 3: Cross multiply
    419,493.24x = 578,909.61 × 228,506.22
  4. Step 4: Simplify right side
    419,493.24x = 132,284,446,702.77
  5. Step 5: Solve for x
    x = 132,284,446,702.77/419,493.24
  6. Step 6: Final answer
    x = 315,343.45

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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.