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Finding the Fourth Proportional to 278,642.04, 384,643.72 and 188,120.62

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Solution

The fourth proportional to 278,642.04, 384,643.72 and 188,120.62 is: 259,685.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,642.04 : 384,643.72 = 188,120.62 : x
  2. Step 2: Convert to fraction form
    278,642.04/384,643.72 = 188,120.62/x
  3. Step 3: Cross multiply
    278,642.04x = 384,643.72 × 188,120.62
  4. Step 4: Simplify right side
    278,642.04x = 72,359,415,085.51
  5. Step 5: Solve for x
    x = 72,359,415,085.51/278,642.04
  6. Step 6: Final answer
    x = 259,685.92

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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.