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Finding the Fourth Proportional to 496,996,503.20, 745,494,754.80 and 420,468,999.20

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Solution

The fourth proportional to 496,996,503.20, 745,494,754.80 and 420,468,999.20 is: 630,703,498.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,996,503.20 : 745,494,754.80 = 420,468,999.20 : x
  2. Step 2: Convert to fraction form
    496,996,503.20/745,494,754.80 = 420,468,999.20/x
  3. Step 3: Cross multiply
    496,996,503.20x = 745,494,754.80 × 420,468,999.20
  4. Step 4: Simplify right side
    496,996,503.20x = 313,457,433,459,605,376
  5. Step 5: Solve for x
    x = 313,457,433,459,605,376/496,996,503.20
  6. Step 6: Final answer
    x = 630,703,498.80

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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.