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Finding the Fourth Proportional to 995,409,978.20, 1,492,915,901.70 and 477,839,418.20

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Solution

The fourth proportional to 995,409,978.20, 1,492,915,901.70 and 477,839,418.20 is: 716,663,567.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    995,409,978.20 : 1,492,915,901.70 = 477,839,418.20 : x
  2. Step 2: Convert to fraction form
    995,409,978.20/1,492,915,901.70 = 477,839,418.20/x
  3. Step 3: Cross multiply
    995,409,978.20x = 1,492,915,901.70 × 477,839,418.20
  4. Step 4: Simplify right side
    995,409,978.20x = 713,374,065,889,856,384
  5. Step 5: Solve for x
    x = 713,374,065,889,856,384/995,409,978.20
  6. Step 6: Final answer
    x = 716,663,567.29

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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.