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Finding the Fourth Proportional to 836,941,347.90, 1,256,187,736.27 and 422,709,068.80

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Solution

The fourth proportional to 836,941,347.90, 1,256,187,736.27 and 422,709,068.80 is: 634,455,388.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,941,347.90 : 1,256,187,736.27 = 422,709,068.80 : x
  2. Step 2: Convert to fraction form
    836,941,347.90/1,256,187,736.27 = 422,709,068.80/x
  3. Step 3: Cross multiply
    836,941,347.90x = 1,256,187,736.27 × 422,709,068.80
  4. Step 4: Simplify right side
    836,941,347.90x = 531,001,948,242,308,864
  5. Step 5: Solve for x
    x = 531,001,948,242,308,864/836,941,347.90
  6. Step 6: Final answer
    x = 634,455,388.75

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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.