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Finding the Fourth Proportional to 652,120.16, 978,181.68 and 178,812.32

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Solution

The fourth proportional to 652,120.16, 978,181.68 and 178,812.32 is: 268,218.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,120.16 : 978,181.68 = 178,812.32 : x
  2. Step 2: Convert to fraction form
    652,120.16/978,181.68 = 178,812.32/x
  3. Step 3: Cross multiply
    652,120.16x = 978,181.68 × 178,812.32
  4. Step 4: Simplify right side
    652,120.16x = 174,910,935,582.30
  5. Step 5: Solve for x
    x = 174,910,935,582.30/652,120.16
  6. Step 6: Final answer
    x = 268,218.87

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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.