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Finding the Fourth Proportional to 477,662.72, 715,404.80 and 228,520.96

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Solution

The fourth proportional to 477,662.72, 715,404.80 and 228,520.96 is: 342,260.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,662.72 : 715,404.80 = 228,520.96 : x
  2. Step 2: Convert to fraction form
    477,662.72/715,404.80 = 228,520.96/x
  3. Step 3: Cross multiply
    477,662.72x = 715,404.80 × 228,520.96
  4. Step 4: Simplify right side
    477,662.72x = 163,484,991,684.61
  5. Step 5: Solve for x
    x = 163,484,991,684.61/477,662.72
  6. Step 6: Final answer
    x = 342,260.31

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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.