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Finding the Fourth Proportional to 465,051.15, 641,840.71 and 283,868.11

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Solution

The fourth proportional to 465,051.15, 641,840.71 and 283,868.11 is: 391,780.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,051.15 : 641,840.71 = 283,868.11 : x
  2. Step 2: Convert to fraction form
    465,051.15/641,840.71 = 283,868.11/x
  3. Step 3: Cross multiply
    465,051.15x = 641,840.71 × 283,868.11
  4. Step 4: Simplify right side
    465,051.15x = 182,198,109,268.76
  5. Step 5: Solve for x
    x = 182,198,109,268.76/465,051.15
  6. Step 6: Final answer
    x = 391,780.80

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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.