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Finding the Fourth Proportional to 643,522,653.80, 965,283,980.70 and 158,848,461.80

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Solution

The fourth proportional to 643,522,653.80, 965,283,980.70 and 158,848,461.80 is: 238,272,692.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,522,653.80 : 965,283,980.70 = 158,848,461.80 : x
  2. Step 2: Convert to fraction form
    643,522,653.80/965,283,980.70 = 158,848,461.80/x
  3. Step 3: Cross multiply
    643,522,653.80x = 965,283,980.70 × 158,848,461.80
  4. Step 4: Simplify right side
    643,522,653.80x = 153,333,875,534,375,904
  5. Step 5: Solve for x
    x = 153,333,875,534,375,904/643,522,653.80
  6. Step 6: Final answer
    x = 238,272,692.70

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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.