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Finding the Fourth Proportional to 415,278.60, 623,609.10 and 228,424.20

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Solution

The fourth proportional to 415,278.60, 623,609.10 and 228,424.20 is: 343,016.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,278.60 : 623,609.10 = 228,424.20 : x
  2. Step 2: Convert to fraction form
    415,278.60/623,609.10 = 228,424.20/x
  3. Step 3: Cross multiply
    415,278.60x = 623,609.10 × 228,424.20
  4. Step 4: Simplify right side
    415,278.60x = 142,447,409,780.22
  5. Step 5: Solve for x
    x = 142,447,409,780.22/415,278.60
  6. Step 6: Final answer
    x = 343,016.49

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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.