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Finding the Fourth Proportional to 409,755.82, 564,176.27 and 348,381.31

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Solution

The fourth proportional to 409,755.82, 564,176.27 and 348,381.31 is: 479,672.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,755.82 : 564,176.27 = 348,381.31 : x
  2. Step 2: Convert to fraction form
    409,755.82/564,176.27 = 348,381.31/x
  3. Step 3: Cross multiply
    409,755.82x = 564,176.27 × 348,381.31
  4. Step 4: Simplify right side
    409,755.82x = 196,548,468,013.51
  5. Step 5: Solve for x
    x = 196,548,468,013.51/409,755.82
  6. Step 6: Final answer
    x = 479,672.18

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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.