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Finding the Fourth Proportional to 281,509.29, 388,510.76 and 160,668.83

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Solution

The fourth proportional to 281,509.29, 388,510.76 and 160,668.83 is: 221,738.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,509.29 : 388,510.76 = 160,668.83 : x
  2. Step 2: Convert to fraction form
    281,509.29/388,510.76 = 160,668.83/x
  3. Step 3: Cross multiply
    281,509.29x = 388,510.76 × 160,668.83
  4. Step 4: Simplify right side
    281,509.29x = 62,421,570,624.56
  5. Step 5: Solve for x
    x = 62,421,570,624.56/281,509.29
  6. Step 6: Final answer
    x = 221,738.94

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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.