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Finding the Fourth Proportional to 376,138.40, 519,061.61 and 210,564.05

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Solution

The fourth proportional to 376,138.40, 519,061.61 and 210,564.05 is: 290,573.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,138.40 : 519,061.61 = 210,564.05 : x
  2. Step 2: Convert to fraction form
    376,138.40/519,061.61 = 210,564.05/x
  3. Step 3: Cross multiply
    376,138.40x = 519,061.61 × 210,564.05
  4. Step 4: Simplify right side
    376,138.40x = 109,295,714,801.12
  5. Step 5: Solve for x
    x = 109,295,714,801.12/376,138.40
  6. Step 6: Final answer
    x = 290,573.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.