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Finding the Fourth Proportional to 385,518.29, 577,746.92 and 328,296.12

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Solution

The fourth proportional to 385,518.29, 577,746.92 and 328,296.12 is: 491,992.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,518.29 : 577,746.92 = 328,296.12 : x
  2. Step 2: Convert to fraction form
    385,518.29/577,746.92 = 328,296.12/x
  3. Step 3: Cross multiply
    385,518.29x = 577,746.92 × 328,296.12
  4. Step 4: Simplify right side
    385,518.29x = 189,672,073,622.32
  5. Step 5: Solve for x
    x = 189,672,073,622.32/385,518.29
  6. Step 6: Final answer
    x = 491,992.41

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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.