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Finding the Fourth Proportional to 419,782.88, 578,843 and 283,580.46

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Solution

The fourth proportional to 419,782.88, 578,843 and 283,580.46 is: 391,032.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,782.88 : 578,843 = 283,580.46 : x
  2. Step 2: Convert to fraction form
    419,782.88/578,843 = 283,580.46/x
  3. Step 3: Cross multiply
    419,782.88x = 578,843 × 283,580.46
  4. Step 4: Simplify right side
    419,782.88x = 164,148,564,207.78
  5. Step 5: Solve for x
    x = 164,148,564,207.78/419,782.88
  6. Step 6: Final answer
    x = 391,032.06

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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.