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Finding the Fourth Proportional to 487,665.87, 731,561.08 and 188,232.08

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Solution

The fourth proportional to 487,665.87, 731,561.08 and 188,232.08 is: 282,372.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,665.87 : 731,561.08 = 188,232.08 : x
  2. Step 2: Convert to fraction form
    487,665.87/731,561.08 = 188,232.08/x
  3. Step 3: Cross multiply
    487,665.87x = 731,561.08 × 188,232.08
  4. Step 4: Simplify right side
    487,665.87x = 137,703,263,735.45
  5. Step 5: Solve for x
    x = 137,703,263,735.45/487,665.87
  6. Step 6: Final answer
    x = 282,372.16

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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.