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Finding the Fourth Proportional to 342,977.64, 513,544.86 and 279,537.72

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Solution

The fourth proportional to 342,977.64, 513,544.86 and 279,537.72 is: 418,555.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,977.64 : 513,544.86 = 279,537.72 : x
  2. Step 2: Convert to fraction form
    342,977.64/513,544.86 = 279,537.72/x
  3. Step 3: Cross multiply
    342,977.64x = 513,544.86 × 279,537.72
  4. Step 4: Simplify right side
    342,977.64x = 143,555,159,282.12
  5. Step 5: Solve for x
    x = 143,555,159,282.12/342,977.64
  6. Step 6: Final answer
    x = 418,555.45

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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.