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Finding the Fourth Proportional to 346,406, 477,733.92 and 225,435.92

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Solution

The fourth proportional to 346,406, 477,733.92 and 225,435.92 is: 310,902.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,406 : 477,733.92 = 225,435.92 : x
  2. Step 2: Convert to fraction form
    346,406/477,733.92 = 225,435.92/x
  3. Step 3: Cross multiply
    346,406x = 477,733.92 × 225,435.92
  4. Step 4: Simplify right side
    346,406x = 107,698,385,770.41
  5. Step 5: Solve for x
    x = 107,698,385,770.41/346,406
  6. Step 6: Final answer
    x = 310,902.20

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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.