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Finding the Fourth Proportional to 287,744.20, 431,616.30 and 188,211.40

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Solution

The fourth proportional to 287,744.20, 431,616.30 and 188,211.40 is: 282,317.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,744.20 : 431,616.30 = 188,211.40 : x
  2. Step 2: Convert to fraction form
    287,744.20/431,616.30 = 188,211.40/x
  3. Step 3: Cross multiply
    287,744.20x = 431,616.30 × 188,211.40
  4. Step 4: Simplify right side
    287,744.20x = 81,235,108,085.82
  5. Step 5: Solve for x
    x = 81,235,108,085.82/287,744.20
  6. Step 6: Final answer
    x = 282,317.10

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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.