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Finding the Fourth Proportional to 287,255.73, 429,683.31 and 201,860.40

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Solution

The fourth proportional to 287,255.73, 429,683.31 and 201,860.40 is: 301,947.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,255.73 : 429,683.31 = 201,860.40 : x
  2. Step 2: Convert to fraction form
    287,255.73/429,683.31 = 201,860.40/x
  3. Step 3: Cross multiply
    287,255.73x = 429,683.31 × 201,860.40
  4. Step 4: Simplify right side
    287,255.73x = 86,736,044,829.92
  5. Step 5: Solve for x
    x = 86,736,044,829.92/287,255.73
  6. Step 6: Final answer
    x = 301,947.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.