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Finding the Fourth Proportional to 292,293.54, 438,460.11 and 102,730.86

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Solution

The fourth proportional to 292,293.54, 438,460.11 and 102,730.86 is: 154,103.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,293.54 : 438,460.11 = 102,730.86 : x
  2. Step 2: Convert to fraction form
    292,293.54/438,460.11 = 102,730.86/x
  3. Step 3: Cross multiply
    292,293.54x = 438,460.11 × 102,730.86
  4. Step 4: Simplify right side
    292,293.54x = 45,043,384,175.99
  5. Step 5: Solve for x
    x = 45,043,384,175.99/292,293.54
  6. Step 6: Final answer
    x = 154,103.25

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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.