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Finding the Fourth Proportional to 287,960.80, 432,135.60 and 187,877.20

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Solution

The fourth proportional to 287,960.80, 432,135.60 and 187,877.20 is: 281,942.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,960.80 : 432,135.60 = 187,877.20 : x
  2. Step 2: Convert to fraction form
    287,960.80/432,135.60 = 187,877.20/x
  3. Step 3: Cross multiply
    287,960.80x = 432,135.60 × 187,877.20
  4. Step 4: Simplify right side
    287,960.80x = 81,188,426,548.32
  5. Step 5: Solve for x
    x = 81,188,426,548.32/287,960.80
  6. Step 6: Final answer
    x = 281,942.63

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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.