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Finding the Fourth Proportional to 385,842.28, 532,466.04 and 213,763.90

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Solution

The fourth proportional to 385,842.28, 532,466.04 and 213,763.90 is: 294,996.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,842.28 : 532,466.04 = 213,763.90 : x
  2. Step 2: Convert to fraction form
    385,842.28/532,466.04 = 213,763.90/x
  3. Step 3: Cross multiply
    385,842.28x = 532,466.04 × 213,763.90
  4. Step 4: Simplify right side
    385,842.28x = 113,822,017,327.96
  5. Step 5: Solve for x
    x = 113,822,017,327.96/385,842.28
  6. Step 6: Final answer
    x = 294,996.23

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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.