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Finding the Fourth Proportional to 346,647.80, 520,020.30 and 136,236.80

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Solution

The fourth proportional to 346,647.80, 520,020.30 and 136,236.80 is: 204,374.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,647.80 : 520,020.30 = 136,236.80 : x
  2. Step 2: Convert to fraction form
    346,647.80/520,020.30 = 136,236.80/x
  3. Step 3: Cross multiply
    346,647.80x = 520,020.30 × 136,236.80
  4. Step 4: Simplify right side
    346,647.80x = 70,845,901,607.04
  5. Step 5: Solve for x
    x = 70,845,901,607.04/346,647.80
  6. Step 6: Final answer
    x = 204,374.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.