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Finding the Fourth Proportional to 419,705.56, 579,176.82 and 228,714.88

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Solution

The fourth proportional to 419,705.56, 579,176.82 and 228,714.88 is: 315,617.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,705.56 : 579,176.82 = 228,714.88 : x
  2. Step 2: Convert to fraction form
    419,705.56/579,176.82 = 228,714.88/x
  3. Step 3: Cross multiply
    419,705.56x = 579,176.82 × 228,714.88
  4. Step 4: Simplify right side
    419,705.56x = 132,466,356,885.08
  5. Step 5: Solve for x
    x = 132,466,356,885.08/419,705.56
  6. Step 6: Final answer
    x = 315,617.35

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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.