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Finding the Fourth Proportional to 425,564.34, 638,492.25 and 145,278.42

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Solution

The fourth proportional to 425,564.34, 638,492.25 and 145,278.42 is: 217,967.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,564.34 : 638,492.25 = 145,278.42 : x
  2. Step 2: Convert to fraction form
    425,564.34/638,492.25 = 145,278.42/x
  3. Step 3: Cross multiply
    425,564.34x = 638,492.25 × 145,278.42
  4. Step 4: Simplify right side
    425,564.34x = 92,759,145,262.25
  5. Step 5: Solve for x
    x = 92,759,145,262.25/425,564.34
  6. Step 6: Final answer
    x = 217,967.38

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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.