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Finding the Fourth Proportional to 346,104, 477,623.52 and 187,128

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Solution

The fourth proportional to 346,104, 477,623.52 and 187,128 is: 258,236.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,104 : 477,623.52 = 187,128 : x
  2. Step 2: Convert to fraction form
    346,104/477,623.52 = 187,128/x
  3. Step 3: Cross multiply
    346,104x = 477,623.52 × 187,128
  4. Step 4: Simplify right side
    346,104x = 89,376,734,050.56
  5. Step 5: Solve for x
    x = 89,376,734,050.56/346,104
  6. Step 6: Final answer
    x = 258,236.64

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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.