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Finding the Fourth Proportional to 409,343.09, 564,879.22 and 228,045.65

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Solution

The fourth proportional to 409,343.09, 564,879.22 and 228,045.65 is: 314,695.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,343.09 : 564,879.22 = 228,045.65 : x
  2. Step 2: Convert to fraction form
    409,343.09/564,879.22 = 228,045.65/x
  3. Step 3: Cross multiply
    409,343.09x = 564,879.22 × 228,045.65
  4. Step 4: Simplify right side
    409,343.09x = 128,818,245,501.88
  5. Step 5: Solve for x
    x = 128,818,245,501.88/409,343.09
  6. Step 6: Final answer
    x = 314,695.06

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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.