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Finding the Fourth Proportional to 287,165.63, 429,996.02 and 202,467.30

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Solution

The fourth proportional to 287,165.63, 429,996.02 and 202,467.30 is: 303,170.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,165.63 : 429,996.02 = 202,467.30 : x
  2. Step 2: Convert to fraction form
    287,165.63/429,996.02 = 202,467.30/x
  3. Step 3: Cross multiply
    287,165.63x = 429,996.02 × 202,467.30
  4. Step 4: Simplify right side
    287,165.63x = 87,060,132,167.81
  5. Step 5: Solve for x
    x = 87,060,132,167.81/287,165.63
  6. Step 6: Final answer
    x = 303,170.45

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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.