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Finding the Fourth Proportional to 499,457,793.60, 749,186,690.40 and 490,848,449.40

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Solution

The fourth proportional to 499,457,793.60, 749,186,690.40 and 490,848,449.40 is: 736,272,674.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,457,793.60 : 749,186,690.40 = 490,848,449.40 : x
  2. Step 2: Convert to fraction form
    499,457,793.60/749,186,690.40 = 490,848,449.40/x
  3. Step 3: Cross multiply
    499,457,793.60x = 749,186,690.40 × 490,848,449.40
  4. Step 4: Simplify right side
    499,457,793.60x = 367,737,125,293,957,824
  5. Step 5: Solve for x
    x = 367,737,125,293,957,824/499,457,793.60
  6. Step 6: Final answer
    x = 736,272,674.10

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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.