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Finding the Fourth Proportional to 828,995,071.10, 1,244,288,869.05 and 420,512,459.90

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Solution

The fourth proportional to 828,995,071.10, 1,244,288,869.05 and 420,512,459.90 is: 631,172,598.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,995,071.10 : 1,244,288,869.05 = 420,512,459.90 : x
  2. Step 2: Convert to fraction form
    828,995,071.10/1,244,288,869.05 = 420,512,459.90/x
  3. Step 3: Cross multiply
    828,995,071.10x = 1,244,288,869.05 × 420,512,459.90
  4. Step 4: Simplify right side
    828,995,071.10x = 523,238,973,150,404,416
  5. Step 5: Solve for x
    x = 523,238,973,150,404,416/828,995,071.10
  6. Step 6: Final answer
    x = 631,172,598.48

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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.