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Finding the Fourth Proportional to 397,872, 596,917.35 and 117,389.25

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Solution

The fourth proportional to 397,872, 596,917.35 and 117,389.25 is: 176,116.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,872 : 596,917.35 = 117,389.25 : x
  2. Step 2: Convert to fraction form
    397,872/596,917.35 = 117,389.25/x
  3. Step 3: Cross multiply
    397,872x = 596,917.35 × 117,389.25
  4. Step 4: Simplify right side
    397,872x = 70,071,680,028.49
  5. Step 5: Solve for x
    x = 70,071,680,028.49/397,872
  6. Step 6: Final answer
    x = 176,116.14

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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.