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Finding the Fourth Proportional to 647,356,098.60, 971,034,147.90 and 450,085,199.40

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Solution

The fourth proportional to 647,356,098.60, 971,034,147.90 and 450,085,199.40 is: 675,127,799.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,356,098.60 : 971,034,147.90 = 450,085,199.40 : x
  2. Step 2: Convert to fraction form
    647,356,098.60/971,034,147.90 = 450,085,199.40/x
  3. Step 3: Cross multiply
    647,356,098.60x = 971,034,147.90 × 450,085,199.40
  4. Step 4: Simplify right side
    647,356,098.60x = 437,048,098,081,780,544
  5. Step 5: Solve for x
    x = 437,048,098,081,780,544/647,356,098.60
  6. Step 6: Final answer
    x = 675,127,799.10

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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.