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Finding the Fourth Proportional to 417,687,540.40, 626,531,310.60 and 355,877,671.60

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Solution

The fourth proportional to 417,687,540.40, 626,531,310.60 and 355,877,671.60 is: 533,816,507.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,687,540.40 : 626,531,310.60 = 355,877,671.60 : x
  2. Step 2: Convert to fraction form
    417,687,540.40/626,531,310.60 = 355,877,671.60/x
  3. Step 3: Cross multiply
    417,687,540.40x = 626,531,310.60 × 355,877,671.60
  4. Step 4: Simplify right side
    417,687,540.40x = 222,968,504,000,824,416
  5. Step 5: Solve for x
    x = 222,968,504,000,824,416/417,687,540.40
  6. Step 6: Final answer
    x = 533,816,507.40

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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.