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Finding the Fourth Proportional to 255,647,360.40, 383,471,040.60 and 255,647,360.40

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Solution

The fourth proportional to 255,647,360.40, 383,471,040.60 and 255,647,360.40 is: 383,471,040.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,647,360.40 : 383,471,040.60 = 255,647,360.40 : x
  2. Step 2: Convert to fraction form
    255,647,360.40/383,471,040.60 = 255,647,360.40/x
  3. Step 3: Cross multiply
    255,647,360.40x = 383,471,040.60 × 255,647,360.40
  4. Step 4: Simplify right side
    255,647,360.40x = 98,033,359,319,231,248
  5. Step 5: Solve for x
    x = 98,033,359,319,231,248/255,647,360.40
  6. Step 6: Final answer
    x = 383,471,040.60

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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.