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Finding the Fourth Proportional to 255,211.65, 382,897.94 and 120,270.27

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Solution

The fourth proportional to 255,211.65, 382,897.94 and 120,270.27 is: 180,443.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,211.65 : 382,897.94 = 120,270.27 : x
  2. Step 2: Convert to fraction form
    255,211.65/382,897.94 = 120,270.27/x
  3. Step 3: Cross multiply
    255,211.65x = 382,897.94 × 120,270.27
  4. Step 4: Simplify right side
    255,211.65x = 46,051,238,653.85
  5. Step 5: Solve for x
    x = 46,051,238,653.85/255,211.65
  6. Step 6: Final answer
    x = 180,443.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.