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Finding the Fourth Proportional to 647,535,665.20, 971,303,497.80 and 440,911,404.40

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Solution

The fourth proportional to 647,535,665.20, 971,303,497.80 and 440,911,404.40 is: 661,367,106.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,535,665.20 : 971,303,497.80 = 440,911,404.40 : x
  2. Step 2: Convert to fraction form
    647,535,665.20/971,303,497.80 = 440,911,404.40/x
  3. Step 3: Cross multiply
    647,535,665.20x = 971,303,497.80 × 440,911,404.40
  4. Step 4: Simplify right side
    647,535,665.20x = 428,258,789,313,630,272
  5. Step 5: Solve for x
    x = 428,258,789,313,630,272/647,535,665.20
  6. Step 6: Final answer
    x = 661,367,106.60

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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.