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Finding the Fourth Proportional to 471,398.54, 650,667.06 and 308,079.61

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Solution

The fourth proportional to 471,398.54, 650,667.06 and 308,079.61 is: 425,239.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,398.54 : 650,667.06 = 308,079.61 : x
  2. Step 2: Convert to fraction form
    471,398.54/650,667.06 = 308,079.61/x
  3. Step 3: Cross multiply
    471,398.54x = 650,667.06 × 308,079.61
  4. Step 4: Simplify right side
    471,398.54x = 200,457,256,866.61
  5. Step 5: Solve for x
    x = 200,457,256,866.61/471,398.54
  6. Step 6: Final answer
    x = 425,239.45

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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.