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Finding the Fourth Proportional to 213,655,128.60, 320,482,692.90 and 199,322,405.40

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Solution

The fourth proportional to 213,655,128.60, 320,482,692.90 and 199,322,405.40 is: 298,983,608.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,655,128.60 : 320,482,692.90 = 199,322,405.40 : x
  2. Step 2: Convert to fraction form
    213,655,128.60/320,482,692.90 = 199,322,405.40/x
  3. Step 3: Cross multiply
    213,655,128.60x = 320,482,692.90 × 199,322,405.40
  4. Step 4: Simplify right side
    213,655,128.60x = 63,879,381,237,897,496
  5. Step 5: Solve for x
    x = 63,879,381,237,897,496/213,655,128.60
  6. Step 6: Final answer
    x = 298,983,608.10

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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.