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Finding the Fourth Proportional to 638,724, 958,082.16 and 165,408.16

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Solution

The fourth proportional to 638,724, 958,082.16 and 165,408.16 is: 248,111.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,724 : 958,082.16 = 165,408.16 : x
  2. Step 2: Convert to fraction form
    638,724/958,082.16 = 165,408.16/x
  3. Step 3: Cross multiply
    638,724x = 958,082.16 × 165,408.16
  4. Step 4: Simplify right side
    638,724x = 158,474,607,214.43
  5. Step 5: Solve for x
    x = 158,474,607,214.43/638,724
  6. Step 6: Final answer
    x = 248,111.25

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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.