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Finding the Fourth Proportional to 472,392,709.80, 708,589,064.70 and 432,215,770.20

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Solution

The fourth proportional to 472,392,709.80, 708,589,064.70 and 432,215,770.20 is: 648,323,655.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,709.80 : 708,589,064.70 = 432,215,770.20 : x
  2. Step 2: Convert to fraction form
    472,392,709.80/708,589,064.70 = 432,215,770.20/x
  3. Step 3: Cross multiply
    472,392,709.80x = 708,589,064.70 × 432,215,770.20
  4. Step 4: Simplify right side
    472,392,709.80x = 306,263,368,354,608,128
  5. Step 5: Solve for x
    x = 306,263,368,354,608,128/472,392,709.80
  6. Step 6: Final answer
    x = 648,323,655.30

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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.