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Finding the Fourth Proportional to 663,218,227.40, 994,818,009.90 and 299,712,000.20

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Solution

The fourth proportional to 663,218,227.40, 994,818,009.90 and 299,712,000.20 is: 449,563,783.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,218,227.40 : 994,818,009.90 = 299,712,000.20 : x
  2. Step 2: Convert to fraction form
    663,218,227.40/994,818,009.90 = 299,712,000.20/x
  3. Step 3: Cross multiply
    663,218,227.40x = 994,818,009.90 × 299,712,000.20
  4. Step 4: Simplify right side
    663,218,227.40x = 298,158,895,582,112,384
  5. Step 5: Solve for x
    x = 298,158,895,582,112,384/663,218,227.40
  6. Step 6: Final answer
    x = 449,563,783.48

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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.