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Finding the Fourth Proportional to 477,663.72, 715,406.30 and 228,521.96

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Solution

The fourth proportional to 477,663.72, 715,406.30 and 228,521.96 is: 342,261.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,663.72 : 715,406.30 = 228,521.96 : x
  2. Step 2: Convert to fraction form
    477,663.72/715,406.30 = 228,521.96/x
  3. Step 3: Cross multiply
    477,663.72x = 715,406.30 × 228,521.96
  4. Step 4: Simplify right side
    477,663.72x = 163,486,049,872.35
  5. Step 5: Solve for x
    x = 163,486,049,872.35/477,663.72
  6. Step 6: Final answer
    x = 342,261.81

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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.