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Finding the Fourth Proportional to 442,886,522.40, 664,329,783.60 and 420,715,591.20

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Solution

The fourth proportional to 442,886,522.40, 664,329,783.60 and 420,715,591.20 is: 631,073,386.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,886,522.40 : 664,329,783.60 = 420,715,591.20 : x
  2. Step 2: Convert to fraction form
    442,886,522.40/664,329,783.60 = 420,715,591.20/x
  3. Step 3: Cross multiply
    442,886,522.40x = 664,329,783.60 × 420,715,591.20
  4. Step 4: Simplify right side
    442,886,522.40x = 279,493,897,659,042,080
  5. Step 5: Solve for x
    x = 279,493,897,659,042,080/442,886,522.40
  6. Step 6: Final answer
    x = 631,073,386.80

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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.