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Finding the Fourth Proportional to 488,451,213.80, 732,676,820.70 and 485,049,991.40

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Solution

The fourth proportional to 488,451,213.80, 732,676,820.70 and 485,049,991.40 is: 727,574,987.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,451,213.80 : 732,676,820.70 = 485,049,991.40 : x
  2. Step 2: Convert to fraction form
    488,451,213.80/732,676,820.70 = 485,049,991.40/x
  3. Step 3: Cross multiply
    488,451,213.80x = 732,676,820.70 × 485,049,991.40
  4. Step 4: Simplify right side
    488,451,213.80x = 355,384,885,579,514,368
  5. Step 5: Solve for x
    x = 355,384,885,579,514,368/488,451,213.80
  6. Step 6: Final answer
    x = 727,574,987.10

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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.