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Finding the Fourth Proportional to 374,456.60, 516,624 and 213,197.60

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Solution

The fourth proportional to 374,456.60, 516,624 and 213,197.60 is: 294,140.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,456.60 : 516,624 = 213,197.60 : x
  2. Step 2: Convert to fraction form
    374,456.60/516,624 = 213,197.60/x
  3. Step 3: Cross multiply
    374,456.60x = 516,624 × 213,197.60
  4. Step 4: Simplify right side
    374,456.60x = 110,142,996,902.40
  5. Step 5: Solve for x
    x = 110,142,996,902.40/374,456.60
  6. Step 6: Final answer
    x = 294,140.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.