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Finding the Fourth Proportional to 415,257.60, 623,577.60 and 228,403.20

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Solution

The fourth proportional to 415,257.60, 623,577.60 and 228,403.20 is: 342,984.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,257.60 : 623,577.60 = 228,403.20 : x
  2. Step 2: Convert to fraction form
    415,257.60/623,577.60 = 228,403.20/x
  3. Step 3: Cross multiply
    415,257.60x = 623,577.60 × 228,403.20
  4. Step 4: Simplify right side
    415,257.60x = 142,427,119,288.32
  5. Step 5: Solve for x
    x = 142,427,119,288.32/415,257.60
  6. Step 6: Final answer
    x = 342,984.98

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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.