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Finding the Fourth Proportional to 489,216,672.80, 733,825,009.20 and 451,803,226.40

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Solution

The fourth proportional to 489,216,672.80, 733,825,009.20 and 451,803,226.40 is: 677,704,839.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,216,672.80 : 733,825,009.20 = 451,803,226.40 : x
  2. Step 2: Convert to fraction form
    489,216,672.80/733,825,009.20 = 451,803,226.40/x
  3. Step 3: Cross multiply
    489,216,672.80x = 733,825,009.20 × 451,803,226.40
  4. Step 4: Simplify right side
    489,216,672.80x = 331,544,506,769,569,664
  5. Step 5: Solve for x
    x = 331,544,506,769,569,664/489,216,672.80
  6. Step 6: Final answer
    x = 677,704,839.60

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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.