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Finding the Fourth Proportional to 253,994,510.40, 380,991,765.60 and 81,488,761.80

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Solution

The fourth proportional to 253,994,510.40, 380,991,765.60 and 81,488,761.80 is: 122,233,142.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,994,510.40 : 380,991,765.60 = 81,488,761.80 : x
  2. Step 2: Convert to fraction form
    253,994,510.40/380,991,765.60 = 81,488,761.80/x
  3. Step 3: Cross multiply
    253,994,510.40x = 380,991,765.60 × 81,488,761.80
  4. Step 4: Simplify right side
    253,994,510.40x = 31,046,547,234,739,836
  5. Step 5: Solve for x
    x = 31,046,547,234,739,836/253,994,510.40
  6. Step 6: Final answer
    x = 122,233,142.70

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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.