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Finding the Fourth Proportional to 281,307.42, 388,194.57 and 160,487.82

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Solution

The fourth proportional to 281,307.42, 388,194.57 and 160,487.82 is: 221,467.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,307.42 : 388,194.57 = 160,487.82 : x
  2. Step 2: Convert to fraction form
    281,307.42/388,194.57 = 160,487.82/x
  3. Step 3: Cross multiply
    281,307.42x = 388,194.57 × 160,487.82
  4. Step 4: Simplify right side
    281,307.42x = 62,300,500,275.14
  5. Step 5: Solve for x
    x = 62,300,500,275.14/281,307.42
  6. Step 6: Final answer
    x = 221,467.68

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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.