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Finding the Fourth Proportional to 254,983,985.70, 382,475,978.55 and 82,584,525.30

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Solution

The fourth proportional to 254,983,985.70, 382,475,978.55 and 82,584,525.30 is: 123,876,787.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,983,985.70 : 382,475,978.55 = 82,584,525.30 : x
  2. Step 2: Convert to fraction form
    254,983,985.70/382,475,978.55 = 82,584,525.30/x
  3. Step 3: Cross multiply
    254,983,985.70x = 382,475,978.55 × 82,584,525.30
  4. Step 4: Simplify right side
    254,983,985.70x = 31,586,597,127,204,732
  5. Step 5: Solve for x
    x = 31,586,597,127,204,732/254,983,985.70
  6. Step 6: Final answer
    x = 123,876,787.95

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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.