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Finding the Fourth Proportional to 255,879,397.80, 383,819,096.70 and 213,364,117.80

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Solution

The fourth proportional to 255,879,397.80, 383,819,096.70 and 213,364,117.80 is: 320,046,176.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,879,397.80 : 383,819,096.70 = 213,364,117.80 : x
  2. Step 2: Convert to fraction form
    255,879,397.80/383,819,096.70 = 213,364,117.80/x
  3. Step 3: Cross multiply
    255,879,397.80x = 383,819,096.70 × 213,364,117.80
  4. Step 4: Simplify right side
    255,879,397.80x = 81,893,222,962,188,400
  5. Step 5: Solve for x
    x = 81,893,222,962,188,400/255,879,397.80
  6. Step 6: Final answer
    x = 320,046,176.70

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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.