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Finding the Fourth Proportional to 378,058.20, 566,431.20 and 319,009.20

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Solution

The fourth proportional to 378,058.20, 566,431.20 and 319,009.20 is: 477,960.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,058.20 : 566,431.20 = 319,009.20 : x
  2. Step 2: Convert to fraction form
    378,058.20/566,431.20 = 319,009.20/x
  3. Step 3: Cross multiply
    378,058.20x = 566,431.20 × 319,009.20
  4. Step 4: Simplify right side
    378,058.20x = 180,696,763,967.04
  5. Step 5: Solve for x
    x = 180,696,763,967.04/378,058.20
  6. Step 6: Final answer
    x = 477,960.18

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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.