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Finding the Fourth Proportional to 346,912.45, 478,563.81 and 232,195.90

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Solution

The fourth proportional to 346,912.45, 478,563.81 and 232,195.90 is: 320,312.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,912.45 : 478,563.81 = 232,195.90 : x
  2. Step 2: Convert to fraction form
    346,912.45/478,563.81 = 232,195.90/x
  3. Step 3: Cross multiply
    346,912.45x = 478,563.81 × 232,195.90
  4. Step 4: Simplify right side
    346,912.45x = 111,120,554,570.38
  5. Step 5: Solve for x
    x = 111,120,554,570.38/346,912.45
  6. Step 6: Final answer
    x = 320,312.96

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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.