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Finding the Fourth Proportional to 525,311,998.80, 787,967,998.20 and 518,145,637.20

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Solution

The fourth proportional to 525,311,998.80, 787,967,998.20 and 518,145,637.20 is: 777,218,455.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,311,998.80 : 787,967,998.20 = 518,145,637.20 : x
  2. Step 2: Convert to fraction form
    525,311,998.80/787,967,998.20 = 518,145,637.20/x
  3. Step 3: Cross multiply
    525,311,998.80x = 787,967,998.20 × 518,145,637.20
  4. Step 4: Simplify right side
    525,311,998.80x = 408,282,180,520,547,456
  5. Step 5: Solve for x
    x = 408,282,180,520,547,456/525,311,998.80
  6. Step 6: Final answer
    x = 777,218,455.80

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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.