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Finding the Fourth Proportional to 417,985.90, 576,997.02 and 282,203.68

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Solution

The fourth proportional to 417,985.90, 576,997.02 and 282,203.68 is: 389,560.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,985.90 : 576,997.02 = 282,203.68 : x
  2. Step 2: Convert to fraction form
    417,985.90/576,997.02 = 282,203.68/x
  3. Step 3: Cross multiply
    417,985.90x = 576,997.02 × 282,203.68
  4. Step 4: Simplify right side
    417,985.90x = 162,830,682,393.03
  5. Step 5: Solve for x
    x = 162,830,682,393.03/417,985.90
  6. Step 6: Final answer
    x = 389,560.23

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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.