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Finding the Fourth Proportional to 409,106.48, 564,431.64 and 239,220.32

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Solution

The fourth proportional to 409,106.48, 564,431.64 and 239,220.32 is: 330,044.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,106.48 : 564,431.64 = 239,220.32 : x
  2. Step 2: Convert to fraction form
    409,106.48/564,431.64 = 239,220.32/x
  3. Step 3: Cross multiply
    409,106.48x = 564,431.64 × 239,220.32
  4. Step 4: Simplify right side
    409,106.48x = 135,023,517,538.93
  5. Step 5: Solve for x
    x = 135,023,517,538.93/409,106.48
  6. Step 6: Final answer
    x = 330,044.93

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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.