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Finding the Fourth Proportional to 421,061.60, 631,285.20 and 171,615.20

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Solution

The fourth proportional to 421,061.60, 631,285.20 and 171,615.20 is: 257,297.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,061.60 : 631,285.20 = 171,615.20 : x
  2. Step 2: Convert to fraction form
    421,061.60/631,285.20 = 171,615.20/x
  3. Step 3: Cross multiply
    421,061.60x = 631,285.20 × 171,615.20
  4. Step 4: Simplify right side
    421,061.60x = 108,338,135,855.04
  5. Step 5: Solve for x
    x = 108,338,135,855.04/421,061.60
  6. Step 6: Final answer
    x = 257,297.59

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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.