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Finding the Fourth Proportional to 515,492,419.20, 773,661,643.20 and 511,461,340.80

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Solution

The fourth proportional to 515,492,419.20, 773,661,643.20 and 511,461,340.80 is: 767,611,717.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,492,419.20 : 773,661,643.20 = 511,461,340.80 : x
  2. Step 2: Convert to fraction form
    515,492,419.20/773,661,643.20 = 511,461,340.80/x
  3. Step 3: Cross multiply
    515,492,419.20x = 773,661,643.20 × 511,461,340.80
  4. Step 4: Simplify right side
    515,492,419.20x = 395,698,021,356,603,264
  5. Step 5: Solve for x
    x = 395,698,021,356,603,264/515,492,419.20
  6. Step 6: Final answer
    x = 767,611,717.69

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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.