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Finding the Fourth Proportional to 419,101.64, 578,649.06 and 392,333

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Solution

The fourth proportional to 419,101.64, 578,649.06 and 392,333 is: 541,689.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,101.64 : 578,649.06 = 392,333 : x
  2. Step 2: Convert to fraction form
    419,101.64/578,649.06 = 392,333/x
  3. Step 3: Cross multiply
    419,101.64x = 578,649.06 × 392,333
  4. Step 4: Simplify right side
    419,101.64x = 227,023,121,656.98
  5. Step 5: Solve for x
    x = 227,023,121,656.98/419,101.64
  6. Step 6: Final answer
    x = 541,689.89

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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.