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Finding the Fourth Proportional to 409,064.81, 564,786.54 and 256,164.35

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Solution

The fourth proportional to 409,064.81, 564,786.54 and 256,164.35 is: 353,680.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,064.81 : 564,786.54 = 256,164.35 : x
  2. Step 2: Convert to fraction form
    409,064.81/564,786.54 = 256,164.35/x
  3. Step 3: Cross multiply
    409,064.81x = 564,786.54 × 256,164.35
  4. Step 4: Simplify right side
    409,064.81x = 144,678,174,083.92
  5. Step 5: Solve for x
    x = 144,678,174,083.92/409,064.81
  6. Step 6: Final answer
    x = 353,680.33

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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.