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Finding the Fourth Proportional to 425,431.98, 638,098.56 and 109,864.08

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Solution

The fourth proportional to 425,431.98, 638,098.56 and 109,864.08 is: 164,783.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,431.98 : 638,098.56 = 109,864.08 : x
  2. Step 2: Convert to fraction form
    425,431.98/638,098.56 = 109,864.08/x
  3. Step 3: Cross multiply
    425,431.98x = 638,098.56 × 109,864.08
  4. Step 4: Simplify right side
    425,431.98x = 70,104,111,243.72
  5. Step 5: Solve for x
    x = 70,104,111,243.72/425,431.98
  6. Step 6: Final answer
    x = 164,783.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.