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Finding the Fourth Proportional to 304,977.59, 420,871.50 and 169,013.75

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Solution

The fourth proportional to 304,977.59, 420,871.50 and 169,013.75 is: 233,240.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,977.59 : 420,871.50 = 169,013.75 : x
  2. Step 2: Convert to fraction form
    304,977.59/420,871.50 = 169,013.75/x
  3. Step 3: Cross multiply
    304,977.59x = 420,871.50 × 169,013.75
  4. Step 4: Simplify right side
    304,977.59x = 71,133,069,638.06
  5. Step 5: Solve for x
    x = 71,133,069,638.06/304,977.59
  6. Step 6: Final answer
    x = 233,240.32

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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.