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Finding the Fourth Proportional to 385,234.65, 531,610.38 and 213,149.88

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Solution

The fourth proportional to 385,234.65, 531,610.38 and 213,149.88 is: 294,139.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,234.65 : 531,610.38 = 213,149.88 : x
  2. Step 2: Convert to fraction form
    385,234.65/531,610.38 = 213,149.88/x
  3. Step 3: Cross multiply
    385,234.65x = 531,610.38 × 213,149.88
  4. Step 4: Simplify right side
    385,234.65x = 113,312,688,703.75
  5. Step 5: Solve for x
    x = 113,312,688,703.75/385,234.65
  6. Step 6: Final answer
    x = 294,139.40

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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.