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Finding the Fourth Proportional to 287,196.87, 430,724.01 and 87,465.45

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Solution

The fourth proportional to 287,196.87, 430,724.01 and 87,465.45 is: 131,176.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,196.87 : 430,724.01 = 87,465.45 : x
  2. Step 2: Convert to fraction form
    287,196.87/430,724.01 = 87,465.45/x
  3. Step 3: Cross multiply
    287,196.87x = 430,724.01 × 87,465.45
  4. Step 4: Simplify right side
    287,196.87x = 37,673,469,360.45
  5. Step 5: Solve for x
    x = 37,673,469,360.45/287,196.87
  6. Step 6: Final answer
    x = 131,176.46

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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.