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Finding the Fourth Proportional to 255,745,603.20, 383,618,404.80 and 177,811,420.80

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Solution

The fourth proportional to 255,745,603.20, 383,618,404.80 and 177,811,420.80 is: 266,717,131.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,745,603.20 : 383,618,404.80 = 177,811,420.80 : x
  2. Step 2: Convert to fraction form
    255,745,603.20/383,618,404.80 = 177,811,420.80/x
  3. Step 3: Cross multiply
    255,745,603.20x = 383,618,404.80 × 177,811,420.80
  4. Step 4: Simplify right side
    255,745,603.20x = 68,211,733,602,517,544
  5. Step 5: Solve for x
    x = 68,211,733,602,517,544/255,745,603.20
  6. Step 6: Final answer
    x = 266,717,131.20

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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.