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Finding the Fourth Proportional to 315,048,919.20, 472,573,378.80 and 85,017,634.80

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Solution

The fourth proportional to 315,048,919.20, 472,573,378.80 and 85,017,634.80 is: 127,526,452.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,048,919.20 : 472,573,378.80 = 85,017,634.80 : x
  2. Step 2: Convert to fraction form
    315,048,919.20/472,573,378.80 = 85,017,634.80/x
  3. Step 3: Cross multiply
    315,048,919.20x = 472,573,378.80 × 85,017,634.80
  4. Step 4: Simplify right side
    315,048,919.20x = 40,177,070,935,020,464
  5. Step 5: Solve for x
    x = 40,177,070,935,020,464/315,048,919.20
  6. Step 6: Final answer
    x = 127,526,452.20

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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.