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Finding the Fourth Proportional to 409,271.61, 564,775.92 and 227,981.76

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Solution

The fourth proportional to 409,271.61, 564,775.92 and 227,981.76 is: 314,604.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,271.61 : 564,775.92 = 227,981.76 : x
  2. Step 2: Convert to fraction form
    409,271.61/564,775.92 = 227,981.76/x
  3. Step 3: Cross multiply
    409,271.61x = 564,775.92 × 227,981.76
  4. Step 4: Simplify right side
    409,271.61x = 128,758,608,247.22
  5. Step 5: Solve for x
    x = 128,758,608,247.22/409,271.61
  6. Step 6: Final answer
    x = 314,604.30

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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.