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Finding the Fourth Proportional to 428,691,346.20, 643,037,019.30 and 428,691,346.20

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Solution

The fourth proportional to 428,691,346.20, 643,037,019.30 and 428,691,346.20 is: 643,037,019.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,691,346.20 : 643,037,019.30 = 428,691,346.20 : x
  2. Step 2: Convert to fraction form
    428,691,346.20/643,037,019.30 = 428,691,346.20/x
  3. Step 3: Cross multiply
    428,691,346.20x = 643,037,019.30 × 428,691,346.20
  4. Step 4: Simplify right side
    428,691,346.20x = 275,664,405,460,152,352
  5. Step 5: Solve for x
    x = 275,664,405,460,152,352/428,691,346.20
  6. Step 6: Final answer
    x = 643,037,019.30

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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.