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Finding the Fourth Proportional to 419,692.68, 579,175.92 and 228,706.02

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Solution

The fourth proportional to 419,692.68, 579,175.92 and 228,706.02 is: 315,614.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,692.68 : 579,175.92 = 228,706.02 : x
  2. Step 2: Convert to fraction form
    419,692.68/579,175.92 = 228,706.02/x
  3. Step 3: Cross multiply
    419,692.68x = 579,175.92 × 228,706.02
  4. Step 4: Simplify right side
    419,692.68x = 132,461,019,543.04
  5. Step 5: Solve for x
    x = 132,461,019,543.04/419,692.68
  6. Step 6: Final answer
    x = 315,614.32

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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.