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Finding the Fourth Proportional to 409,709.47, 565,401.45 and 228,432.82

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Solution

The fourth proportional to 409,709.47, 565,401.45 and 228,432.82 is: 315,238.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,709.47 : 565,401.45 = 228,432.82 : x
  2. Step 2: Convert to fraction form
    409,709.47/565,401.45 = 228,432.82/x
  3. Step 3: Cross multiply
    409,709.47x = 565,401.45 × 228,432.82
  4. Step 4: Simplify right side
    409,709.47x = 129,156,247,655.59
  5. Step 5: Solve for x
    x = 129,156,247,655.59/409,709.47
  6. Step 6: Final answer
    x = 315,238.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.