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Finding the Fourth Proportional to 281,383.59, 388,346.31 and 160,497.12

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Solution

The fourth proportional to 281,383.59, 388,346.31 and 160,497.12 is: 221,507.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,383.59 : 388,346.31 = 160,497.12 : x
  2. Step 2: Convert to fraction form
    281,383.59/388,346.31 = 160,497.12/x
  3. Step 3: Cross multiply
    281,383.59x = 388,346.31 × 160,497.12
  4. Step 4: Simplify right side
    281,383.59x = 62,328,464,317.63
  5. Step 5: Solve for x
    x = 62,328,464,317.63/281,383.59
  6. Step 6: Final answer
    x = 221,507.10

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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.