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Finding the Fourth Proportional to 647,352,000.10, 971,028,000.15 and 283,846,356.10

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Solution

The fourth proportional to 647,352,000.10, 971,028,000.15 and 283,846,356.10 is: 425,769,534.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,352,000.10 : 971,028,000.15 = 283,846,356.10 : x
  2. Step 2: Convert to fraction form
    647,352,000.10/971,028,000.15 = 283,846,356.10/x
  3. Step 3: Cross multiply
    647,352,000.10x = 971,028,000.15 × 283,846,356.10
  4. Step 4: Simplify right side
    647,352,000.10x = 275,622,759,513,647,776
  5. Step 5: Solve for x
    x = 275,622,759,513,647,776/647,352,000.10
  6. Step 6: Final answer
    x = 425,769,534.15

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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.