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Finding the Fourth Proportional to 413,546.90, 620,320.35 and 376,805.30

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Solution

The fourth proportional to 413,546.90, 620,320.35 and 376,805.30 is: 565,207.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,546.90 : 620,320.35 = 376,805.30 : x
  2. Step 2: Convert to fraction form
    413,546.90/620,320.35 = 376,805.30/x
  3. Step 3: Cross multiply
    413,546.90x = 620,320.35 × 376,805.30
  4. Step 4: Simplify right side
    413,546.90x = 233,739,995,577.86
  5. Step 5: Solve for x
    x = 233,739,995,577.86/413,546.90
  6. Step 6: Final answer
    x = 565,207.95

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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.