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Finding the Fourth Proportional to 287,853.40, 431,996.10 and 147,539.80

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Solution

The fourth proportional to 287,853.40, 431,996.10 and 147,539.80 is: 221,420.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,853.40 : 431,996.10 = 147,539.80 : x
  2. Step 2: Convert to fraction form
    287,853.40/431,996.10 = 147,539.80/x
  3. Step 3: Cross multiply
    287,853.40x = 431,996.10 × 147,539.80
  4. Step 4: Simplify right side
    287,853.40x = 63,736,618,194.78
  5. Step 5: Solve for x
    x = 63,736,618,194.78/287,853.40
  6. Step 6: Final answer
    x = 221,420.41

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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.