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Finding the Fourth Proportional to 492,614.88, 739,022.40 and 155,708.16

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Solution

The fourth proportional to 492,614.88, 739,022.40 and 155,708.16 is: 233,593.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,614.88 : 739,022.40 = 155,708.16 : x
  2. Step 2: Convert to fraction form
    492,614.88/739,022.40 = 155,708.16/x
  3. Step 3: Cross multiply
    492,614.88x = 739,022.40 × 155,708.16
  4. Step 4: Simplify right side
    492,614.88x = 115,071,818,102.78
  5. Step 5: Solve for x
    x = 115,071,818,102.78/492,614.88
  6. Step 6: Final answer
    x = 233,593.87

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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.