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Finding the Fourth Proportional to 442,897,291.40, 664,345,937.10 and 420,726,360.20

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Solution

The fourth proportional to 442,897,291.40, 664,345,937.10 and 420,726,360.20 is: 631,089,540.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,897,291.40 : 664,345,937.10 = 420,726,360.20 : x
  2. Step 2: Convert to fraction form
    442,897,291.40/664,345,937.10 = 420,726,360.20/x
  3. Step 3: Cross multiply
    442,897,291.40x = 664,345,937.10 × 420,726,360.20
  4. Step 4: Simplify right side
    442,897,291.40x = 279,507,848,029,741,152
  5. Step 5: Solve for x
    x = 279,507,848,029,741,152/442,897,291.40
  6. Step 6: Final answer
    x = 631,089,540.30

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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.