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Finding the Fourth Proportional to 646,892,153.60, 969,676,881.60 and 318,863,148.80

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Solution

The fourth proportional to 646,892,153.60, 969,676,881.60 and 318,863,148.80 is: 477,968,734.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,892,153.60 : 969,676,881.60 = 318,863,148.80 : x
  2. Step 2: Convert to fraction form
    646,892,153.60/969,676,881.60 = 318,863,148.80/x
  3. Step 3: Cross multiply
    646,892,153.60x = 969,676,881.60 × 318,863,148.80
  4. Step 4: Simplify right side
    646,892,153.60x = 309,194,223,785,540,800
  5. Step 5: Solve for x
    x = 309,194,223,785,540,800/646,892,153.60
  6. Step 6: Final answer
    x = 477,968,734.15

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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.