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Finding the Fourth Proportional to 409,501.87, 564,946.11 and 271,745.76

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Solution

The fourth proportional to 409,501.87, 564,946.11 and 271,745.76 is: 374,898.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,501.87 : 564,946.11 = 271,745.76 : x
  2. Step 2: Convert to fraction form
    409,501.87/564,946.11 = 271,745.76/x
  3. Step 3: Cross multiply
    409,501.87x = 564,946.11 × 271,745.76
  4. Step 4: Simplify right side
    409,501.87x = 153,521,713,158.59
  5. Step 5: Solve for x
    x = 153,521,713,158.59/409,501.87
  6. Step 6: Final answer
    x = 374,898.69

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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.