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Finding the Fourth Proportional to 342,243.12, 513,811.80 and 274,811.16

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Solution

The fourth proportional to 342,243.12, 513,811.80 and 274,811.16 is: 412,575.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,243.12 : 513,811.80 = 274,811.16 : x
  2. Step 2: Convert to fraction form
    342,243.12/513,811.80 = 274,811.16/x
  3. Step 3: Cross multiply
    342,243.12x = 513,811.80 × 274,811.16
  4. Step 4: Simplify right side
    342,243.12x = 141,201,216,779.69
  5. Step 5: Solve for x
    x = 141,201,216,779.69/342,243.12
  6. Step 6: Final answer
    x = 412,575.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.