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Finding the Fourth Proportional to 639,468, 959,805.25 and 470,473.65

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Solution

The fourth proportional to 639,468, 959,805.25 and 470,473.65 is: 706,154.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,468 : 959,805.25 = 470,473.65 : x
  2. Step 2: Convert to fraction form
    639,468/959,805.25 = 470,473.65/x
  3. Step 3: Cross multiply
    639,468x = 959,805.25 × 470,473.65
  4. Step 4: Simplify right side
    639,468x = 451,563,078,080.48
  5. Step 5: Solve for x
    x = 451,563,078,080.48/639,468
  6. Step 6: Final answer
    x = 706,154.30

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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.