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Finding the Fourth Proportional to 278,633.93, 384,507 and 157,786.65

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Solution

The fourth proportional to 278,633.93, 384,507 and 157,786.65 is: 217,741.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,633.93 : 384,507 = 157,786.65 : x
  2. Step 2: Convert to fraction form
    278,633.93/384,507 = 157,786.65/x
  3. Step 3: Cross multiply
    278,633.93x = 384,507 × 157,786.65
  4. Step 4: Simplify right side
    278,633.93x = 60,670,071,431.55
  5. Step 5: Solve for x
    x = 60,670,071,431.55/278,633.93
  6. Step 6: Final answer
    x = 217,741.15

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1.5x scale

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.