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Finding the Fourth Proportional to 281,406.76, 388,342.68 and 160,546.80

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Solution

The fourth proportional to 281,406.76, 388,342.68 and 160,546.80 is: 221,555.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,406.76 : 388,342.68 = 160,546.80 : x
  2. Step 2: Convert to fraction form
    281,406.76/388,342.68 = 160,546.80/x
  3. Step 3: Cross multiply
    281,406.76x = 388,342.68 × 160,546.80
  4. Step 4: Simplify right side
    281,406.76x = 62,347,174,577.42
  5. Step 5: Solve for x
    x = 62,347,174,577.42/281,406.76
  6. Step 6: Final answer
    x = 221,555.35

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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.