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Finding the Fourth Proportional to 427,502.20, 641,102.10 and 146,954.20

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Solution

The fourth proportional to 427,502.20, 641,102.10 and 146,954.20 is: 220,379.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,502.20 : 641,102.10 = 146,954.20 : x
  2. Step 2: Convert to fraction form
    427,502.20/641,102.10 = 146,954.20/x
  3. Step 3: Cross multiply
    427,502.20x = 641,102.10 × 146,954.20
  4. Step 4: Simplify right side
    427,502.20x = 94,212,646,223.82
  5. Step 5: Solve for x
    x = 94,212,646,223.82/427,502.20
  6. Step 6: Final answer
    x = 220,379.32

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1.5x scale

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.