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Finding the Fourth Proportional to 281,482.47, 388,349.34 and 160,536.78

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Solution

The fourth proportional to 281,482.47, 388,349.34 and 160,536.78 is: 221,485.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,482.47 : 388,349.34 = 160,536.78 : x
  2. Step 2: Convert to fraction form
    281,482.47/388,349.34 = 160,536.78/x
  3. Step 3: Cross multiply
    281,482.47x = 388,349.34 × 160,536.78
  4. Step 4: Simplify right side
    281,482.47x = 62,344,352,558.73
  5. Step 5: Solve for x
    x = 62,344,352,558.73/281,482.47
  6. Step 6: Final answer
    x = 221,485.74

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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.