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Finding the Fourth Proportional to 287,415.80, 401,594.80 and 287,415.80

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Solution

The fourth proportional to 287,415.80, 401,594.80 and 287,415.80 is: 401,594.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,415.80 : 401,594.80 = 287,415.80 : x
  2. Step 2: Convert to fraction form
    287,415.80/401,594.80 = 287,415.80/x
  3. Step 3: Cross multiply
    287,415.80x = 401,594.80 × 287,415.80
  4. Step 4: Simplify right side
    287,415.80x = 115,424,690,717.84
  5. Step 5: Solve for x
    x = 115,424,690,717.84/287,415.80
  6. Step 6: Final answer
    x = 401,594.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.