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Finding the Fourth Proportional to 399,224, 598,842.48 and 114,918.32

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Solution

The fourth proportional to 399,224, 598,842.48 and 114,918.32 is: 172,379.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,224 : 598,842.48 = 114,918.32 : x
  2. Step 2: Convert to fraction form
    399,224/598,842.48 = 114,918.32/x
  3. Step 3: Cross multiply
    399,224x = 598,842.48 × 114,918.32
  4. Step 4: Simplify right side
    399,224x = 68,817,971,746.23
  5. Step 5: Solve for x
    x = 68,817,971,746.23/399,224
  6. Step 6: Final answer
    x = 172,379.35

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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.