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Finding the Fourth Proportional to 427,384.40, 641,134.20 and 146,987.60

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Solution

The fourth proportional to 427,384.40, 641,134.20 and 146,987.60 is: 220,501.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,384.40 : 641,134.20 = 146,987.60 : x
  2. Step 2: Convert to fraction form
    427,384.40/641,134.20 = 146,987.60/x
  3. Step 3: Cross multiply
    427,384.40x = 641,134.20 × 146,987.60
  4. Step 4: Simplify right side
    427,384.40x = 94,238,777,335.92
  5. Step 5: Solve for x
    x = 94,238,777,335.92/427,384.40
  6. Step 6: Final answer
    x = 220,501.21

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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.