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Finding the Fourth Proportional to 285,900,465.80, 428,850,698.70 and 81,425,880.20

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Solution

The fourth proportional to 285,900,465.80, 428,850,698.70 and 81,425,880.20 is: 122,138,820.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,900,465.80 : 428,850,698.70 = 81,425,880.20 : x
  2. Step 2: Convert to fraction form
    285,900,465.80/428,850,698.70 = 81,425,880.20/x
  3. Step 3: Cross multiply
    285,900,465.80x = 428,850,698.70 × 81,425,880.20
  4. Step 4: Simplify right side
    285,900,465.80x = 34,919,545,616,032,496
  5. Step 5: Solve for x
    x = 34,919,545,616,032,496/285,900,465.80
  6. Step 6: Final answer
    x = 122,138,820.30

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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.