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Finding the Fourth Proportional to 312,712.45, 469,156.15 and 123,055.81

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Solution

The fourth proportional to 312,712.45, 469,156.15 and 123,055.81 is: 184,618.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,712.45 : 469,156.15 = 123,055.81 : x
  2. Step 2: Convert to fraction form
    312,712.45/469,156.15 = 123,055.81/x
  3. Step 3: Cross multiply
    312,712.45x = 469,156.15 × 123,055.81
  4. Step 4: Simplify right side
    312,712.45x = 57,732,389,035.66
  5. Step 5: Solve for x
    x = 57,732,389,035.66/312,712.45
  6. Step 6: Final answer
    x = 184,618.14

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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.