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Finding the Fourth Proportional to 499,309,661.40, 748,964,492.10 and 305,817,898.20

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Solution

The fourth proportional to 499,309,661.40, 748,964,492.10 and 305,817,898.20 is: 458,726,847.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,309,661.40 : 748,964,492.10 = 305,817,898.20 : x
  2. Step 2: Convert to fraction form
    499,309,661.40/748,964,492.10 = 305,817,898.20/x
  3. Step 3: Cross multiply
    499,309,661.40x = 748,964,492.10 × 305,817,898.20
  4. Step 4: Simplify right side
    499,309,661.40x = 229,046,746,800,452,512
  5. Step 5: Solve for x
    x = 229,046,746,800,452,512/499,309,661.40
  6. Step 6: Final answer
    x = 458,726,847.30

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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.