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Finding the Fourth Proportional to 585,820.20, 876,656.70 and 399,196.20

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Solution

The fourth proportional to 585,820.20, 876,656.70 and 399,196.20 is: 597,381.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,820.20 : 876,656.70 = 399,196.20 : x
  2. Step 2: Convert to fraction form
    585,820.20/876,656.70 = 399,196.20/x
  3. Step 3: Cross multiply
    585,820.20x = 876,656.70 × 399,196.20
  4. Step 4: Simplify right side
    585,820.20x = 349,958,023,344.54
  5. Step 5: Solve for x
    x = 349,958,023,344.54/585,820.20
  6. Step 6: Final answer
    x = 597,381.28

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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.