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Finding the Fourth Proportional to 418,893.08, 578,055.30 and 227,906.66

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Solution

The fourth proportional to 418,893.08, 578,055.30 and 227,906.66 is: 314,501.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,893.08 : 578,055.30 = 227,906.66 : x
  2. Step 2: Convert to fraction form
    418,893.08/578,055.30 = 227,906.66/x
  3. Step 3: Cross multiply
    418,893.08x = 578,055.30 × 227,906.66
  4. Step 4: Simplify right side
    418,893.08x = 131,742,652,718.30
  5. Step 5: Solve for x
    x = 131,742,652,718.30/418,893.08
  6. Step 6: Final answer
    x = 314,501.86

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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.