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Finding the Fourth Proportional to 281,642.82, 388,703.25 and 160,756.40

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Solution

The fourth proportional to 281,642.82, 388,703.25 and 160,756.40 is: 221,864.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,642.82 : 388,703.25 = 160,756.40 : x
  2. Step 2: Convert to fraction form
    281,642.82/388,703.25 = 160,756.40/x
  3. Step 3: Cross multiply
    281,642.82x = 388,703.25 × 160,756.40
  4. Step 4: Simplify right side
    281,642.82x = 62,486,533,194.78
  5. Step 5: Solve for x
    x = 62,486,533,194.78/281,642.82
  6. Step 6: Final answer
    x = 221,864.46

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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.