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Finding the Fourth Proportional to 281,442.72, 388,427.84 and 160,556.16

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Solution

The fourth proportional to 281,442.72, 388,427.84 and 160,556.16 is: 221,588.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,442.72 : 388,427.84 = 160,556.16 : x
  2. Step 2: Convert to fraction form
    281,442.72/388,427.84 = 160,556.16/x
  3. Step 3: Cross multiply
    281,442.72x = 388,427.84 × 160,556.16
  4. Step 4: Simplify right side
    281,442.72x = 62,364,482,427.49
  5. Step 5: Solve for x
    x = 62,364,482,427.49/281,442.72
  6. Step 6: Final answer
    x = 221,588.54

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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.