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Finding the Fourth Proportional to 419,740.62, 579,225.15 and 228,749.88

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Solution

The fourth proportional to 419,740.62, 579,225.15 and 228,749.88 is: 315,665.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,740.62 : 579,225.15 = 228,749.88 : x
  2. Step 2: Convert to fraction form
    419,740.62/579,225.15 = 228,749.88/x
  3. Step 3: Cross multiply
    419,740.62x = 579,225.15 × 228,749.88
  4. Step 4: Simplify right side
    419,740.62x = 132,497,683,555.48
  5. Step 5: Solve for x
    x = 132,497,683,555.48/419,740.62
  6. Step 6: Final answer
    x = 315,665.62

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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.