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Finding the Fourth Proportional to 252,403.60, 378,605.40 and 214,877.20

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Solution

The fourth proportional to 252,403.60, 378,605.40 and 214,877.20 is: 322,315.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,403.60 : 378,605.40 = 214,877.20 : x
  2. Step 2: Convert to fraction form
    252,403.60/378,605.40 = 214,877.20/x
  3. Step 3: Cross multiply
    252,403.60x = 378,605.40 × 214,877.20
  4. Step 4: Simplify right side
    252,403.60x = 81,353,668,256.88
  5. Step 5: Solve for x
    x = 81,353,668,256.88/252,403.60
  6. Step 6: Final answer
    x = 322,315.80

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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.