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Finding the Fourth Proportional to 489,901,417.60, 734,001,820.80 and 317,289,380.80

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Solution

The fourth proportional to 489,901,417.60, 734,001,820.80 and 317,289,380.80 is: 475,383,362.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,901,417.60 : 734,001,820.80 = 317,289,380.80 : x
  2. Step 2: Convert to fraction form
    489,901,417.60/734,001,820.80 = 317,289,380.80/x
  3. Step 3: Cross multiply
    489,901,417.60x = 734,001,820.80 × 317,289,380.80
  4. Step 4: Simplify right side
    489,901,417.60x = 232,890,983,227,704,544
  5. Step 5: Solve for x
    x = 232,890,983,227,704,544/489,901,417.60
  6. Step 6: Final answer
    x = 475,383,362.57

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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.