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Finding the Fourth Proportional to 419,492.85, 578,897.15 and 228,506.23

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Solution

The fourth proportional to 419,492.85, 578,897.15 and 228,506.23 is: 315,336.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,492.85 : 578,897.15 = 228,506.23 : x
  2. Step 2: Convert to fraction form
    419,492.85/578,897.15 = 228,506.23/x
  3. Step 3: Cross multiply
    419,492.85x = 578,897.15 × 228,506.23
  4. Step 4: Simplify right side
    419,492.85x = 132,281,605,304.25
  5. Step 5: Solve for x
    x = 132,281,605,304.25/419,492.85
  6. Step 6: Final answer
    x = 315,336.97

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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.