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Finding the Fourth Proportional to 281,281.77, 388,072.31 and 160,335.81

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Solution

The fourth proportional to 281,281.77, 388,072.31 and 160,335.81 is: 221,208.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,281.77 : 388,072.31 = 160,335.81 : x
  2. Step 2: Convert to fraction form
    281,281.77/388,072.31 = 160,335.81/x
  3. Step 3: Cross multiply
    281,281.77x = 388,072.31 × 160,335.81
  4. Step 4: Simplify right side
    281,281.77x = 62,221,888,162.42
  5. Step 5: Solve for x
    x = 62,221,888,162.42/281,281.77
  6. Step 6: Final answer
    x = 221,208.39

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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.