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Finding the Fourth Proportional to 439,761,603.60, 659,642,405.40 and 412,551,824.40

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Solution

The fourth proportional to 439,761,603.60, 659,642,405.40 and 412,551,824.40 is: 618,827,736.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,761,603.60 : 659,642,405.40 = 412,551,824.40 : x
  2. Step 2: Convert to fraction form
    439,761,603.60/659,642,405.40 = 412,551,824.40/x
  3. Step 3: Cross multiply
    439,761,603.60x = 659,642,405.40 × 412,551,824.40
  4. Step 4: Simplify right side
    439,761,603.60x = 272,136,677,799,374,400
  5. Step 5: Solve for x
    x = 272,136,677,799,374,400/439,761,603.60
  6. Step 6: Final answer
    x = 618,827,736.60

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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.