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Finding the Fourth Proportional to 393,250, 589,877.16 and 97,762

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Solution

The fourth proportional to 393,250, 589,877.16 and 97,762 is: 146,643.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,250 : 589,877.16 = 97,762 : x
  2. Step 2: Convert to fraction form
    393,250/589,877.16 = 97,762/x
  3. Step 3: Cross multiply
    393,250x = 589,877.16 × 97,762
  4. Step 4: Simplify right side
    393,250x = 57,667,570,915.92
  5. Step 5: Solve for x
    x = 57,667,570,915.92/393,250
  6. Step 6: Final answer
    x = 146,643.54

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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.