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Finding the Fourth Proportional to 665,343,744.40, 998,015,616.60 and 493,156,860.40

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Solution

The fourth proportional to 665,343,744.40, 998,015,616.60 and 493,156,860.40 is: 739,735,290.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,343,744.40 : 998,015,616.60 = 493,156,860.40 : x
  2. Step 2: Convert to fraction form
    665,343,744.40/998,015,616.60 = 493,156,860.40/x
  3. Step 3: Cross multiply
    665,343,744.40x = 998,015,616.60 × 493,156,860.40
  4. Step 4: Simplify right side
    665,343,744.40x = 492,178,248,112,626,112
  5. Step 5: Solve for x
    x = 492,178,248,112,626,112/665,343,744.40
  6. Step 6: Final answer
    x = 739,735,290.60

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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.