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Finding the Fourth Proportional to 639,457.24, 958,978.16 and 212,878.48

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Solution

The fourth proportional to 639,457.24, 958,978.16 and 212,878.48 is: 319,248.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,457.24 : 958,978.16 = 212,878.48 : x
  2. Step 2: Convert to fraction form
    639,457.24/958,978.16 = 212,878.48/x
  3. Step 3: Cross multiply
    639,457.24x = 958,978.16 × 212,878.48
  4. Step 4: Simplify right side
    639,457.24x = 204,145,813,054.00
  5. Step 5: Solve for x
    x = 204,145,813,054.00/639,457.24
  6. Step 6: Final answer
    x = 319,248.58

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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.