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Finding the Fourth Proportional to 399,741.75, 551,590.56 and 256,695.75

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Solution

The fourth proportional to 399,741.75, 551,590.56 and 256,695.75 is: 354,206.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,741.75 : 551,590.56 = 256,695.75 : x
  2. Step 2: Convert to fraction form
    399,741.75/551,590.56 = 256,695.75/x
  3. Step 3: Cross multiply
    399,741.75x = 551,590.56 × 256,695.75
  4. Step 4: Simplify right side
    399,741.75x = 141,590,952,492.12
  5. Step 5: Solve for x
    x = 141,590,952,492.12/399,741.75
  6. Step 6: Final answer
    x = 354,206.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.