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Finding the Fourth Proportional to 511,056,648.90, 766,584,973.35 and 280,936,815.30

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Solution

The fourth proportional to 511,056,648.90, 766,584,973.35 and 280,936,815.30 is: 421,405,222.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,056,648.90 : 766,584,973.35 = 280,936,815.30 : x
  2. Step 2: Convert to fraction form
    511,056,648.90/766,584,973.35 = 280,936,815.30/x
  3. Step 3: Cross multiply
    511,056,648.90x = 766,584,973.35 × 280,936,815.30
  4. Step 4: Simplify right side
    511,056,648.90x = 215,361,941,069,784,384
  5. Step 5: Solve for x
    x = 215,361,941,069,784,384/511,056,648.90
  6. Step 6: Final answer
    x = 421,405,222.95

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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.