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Finding the Fourth Proportional to 472,396,369.80, 708,594,554.70 and 213,620,032.20

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Solution

The fourth proportional to 472,396,369.80, 708,594,554.70 and 213,620,032.20 is: 320,430,048.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,396,369.80 : 708,594,554.70 = 213,620,032.20 : x
  2. Step 2: Convert to fraction form
    472,396,369.80/708,594,554.70 = 213,620,032.20/x
  3. Step 3: Cross multiply
    472,396,369.80x = 708,594,554.70 × 213,620,032.20
  4. Step 4: Simplify right side
    472,396,369.80x = 151,369,991,591,758,656
  5. Step 5: Solve for x
    x = 151,369,991,591,758,656/472,396,369.80
  6. Step 6: Final answer
    x = 320,430,048.30

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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.