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Finding the Fourth Proportional to 505,031.27, 696,312.72 and 323,444.66

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Solution

The fourth proportional to 505,031.27, 696,312.72 and 323,444.66 is: 445,949.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,031.27 : 696,312.72 = 323,444.66 : x
  2. Step 2: Convert to fraction form
    505,031.27/696,312.72 = 323,444.66/x
  3. Step 3: Cross multiply
    505,031.27x = 696,312.72 × 323,444.66
  4. Step 4: Simplify right side
    505,031.27x = 225,218,627,492.51
  5. Step 5: Solve for x
    x = 225,218,627,492.51/505,031.27
  6. Step 6: Final answer
    x = 445,949.87

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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.