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Finding the Fourth Proportional to 511,488,512.80, 766,350,970.80 and 238,298,970.40

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Solution

The fourth proportional to 511,488,512.80, 766,350,970.80 and 238,298,970.40 is: 357,037,631.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,488,512.80 : 766,350,970.80 = 238,298,970.40 : x
  2. Step 2: Convert to fraction form
    511,488,512.80/766,350,970.80 = 238,298,970.40/x
  3. Step 3: Cross multiply
    511,488,512.80x = 766,350,970.80 × 238,298,970.40
  4. Step 4: Simplify right side
    511,488,512.80x = 182,620,647,306,680,448
  5. Step 5: Solve for x
    x = 182,620,647,306,680,448/511,488,512.80
  6. Step 6: Final answer
    x = 357,037,631.81

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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.