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Finding the Fourth Proportional to 450,997, 676,551.12 and 147,383.98

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Solution

The fourth proportional to 450,997, 676,551.12 and 147,383.98 is: 221,094.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,997 : 676,551.12 = 147,383.98 : x
  2. Step 2: Convert to fraction form
    450,997/676,551.12 = 147,383.98/x
  3. Step 3: Cross multiply
    450,997x = 676,551.12 × 147,383.98
  4. Step 4: Simplify right side
    450,997x = 99,712,796,739.06
  5. Step 5: Solve for x
    x = 99,712,796,739.06/450,997
  6. Step 6: Final answer
    x = 221,094.15

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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.