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Finding the Fourth Proportional to 427,427.28, 641,228.40 and 146,908.08

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Solution

The fourth proportional to 427,427.28, 641,228.40 and 146,908.08 is: 220,392.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,427.28 : 641,228.40 = 146,908.08 : x
  2. Step 2: Convert to fraction form
    427,427.28/641,228.40 = 146,908.08/x
  3. Step 3: Cross multiply
    427,427.28x = 641,228.40 × 146,908.08
  4. Step 4: Simplify right side
    427,427.28x = 94,201,633,085.47
  5. Step 5: Solve for x
    x = 94,201,633,085.47/427,427.28
  6. Step 6: Final answer
    x = 220,392.19

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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.