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Finding the Fourth Proportional to 287,211.47, 429,617.21 and 201,816.34

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Solution

The fourth proportional to 287,211.47, 429,617.21 and 201,816.34 is: 301,881.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,211.47 : 429,617.21 = 201,816.34 : x
  2. Step 2: Convert to fraction form
    287,211.47/429,617.21 = 201,816.34/x
  3. Step 3: Cross multiply
    287,211.47x = 429,617.21 × 201,816.34
  4. Step 4: Simplify right side
    287,211.47x = 86,703,770,840.09
  5. Step 5: Solve for x
    x = 86,703,770,840.09/287,211.47
  6. Step 6: Final answer
    x = 301,881.30

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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.