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Finding the Fourth Proportional to 287,616.20, 431,424.30 and 188,083.40

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Solution

The fourth proportional to 287,616.20, 431,424.30 and 188,083.40 is: 282,125.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,616.20 : 431,424.30 = 188,083.40 : x
  2. Step 2: Convert to fraction form
    287,616.20/431,424.30 = 188,083.40/x
  3. Step 3: Cross multiply
    287,616.20x = 431,424.30 × 188,083.40
  4. Step 4: Simplify right side
    287,616.20x = 81,143,749,186.62
  5. Step 5: Solve for x
    x = 81,143,749,186.62/287,616.20
  6. Step 6: Final answer
    x = 282,125.10

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1.5x scale

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.