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Finding the Fourth Proportional to 346,192.38, 477,446.40 and 225,290.16

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Solution

The fourth proportional to 346,192.38, 477,446.40 and 225,290.16 is: 310,705.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,192.38 : 477,446.40 = 225,290.16 : x
  2. Step 2: Convert to fraction form
    346,192.38/477,446.40 = 225,290.16/x
  3. Step 3: Cross multiply
    346,192.38x = 477,446.40 × 225,290.16
  4. Step 4: Simplify right side
    346,192.38x = 107,563,975,847.42
  5. Step 5: Solve for x
    x = 107,563,975,847.42/346,192.38
  6. Step 6: Final answer
    x = 310,705.79

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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.