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Finding the Fourth Proportional to 384,466.96, 530,579.42 and 212,393.80

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Solution

The fourth proportional to 384,466.96, 530,579.42 and 212,393.80 is: 293,111.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,466.96 : 530,579.42 = 212,393.80 : x
  2. Step 2: Convert to fraction form
    384,466.96/530,579.42 = 212,393.80/x
  3. Step 3: Cross multiply
    384,466.96x = 530,579.42 × 212,393.80
  4. Step 4: Simplify right side
    384,466.96x = 112,691,779,215.60
  5. Step 5: Solve for x
    x = 112,691,779,215.60/384,466.96
  6. Step 6: Final answer
    x = 293,111.74

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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.