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Finding the Fourth Proportional to 393,200, 589,800.04 and 97,712

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Solution

The fourth proportional to 393,200, 589,800.04 and 97,712 is: 146,568.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,200 : 589,800.04 = 97,712 : x
  2. Step 2: Convert to fraction form
    393,200/589,800.04 = 97,712/x
  3. Step 3: Cross multiply
    393,200x = 589,800.04 × 97,712
  4. Step 4: Simplify right side
    393,200x = 57,630,541,508.48
  5. Step 5: Solve for x
    x = 57,630,541,508.48/393,200
  6. Step 6: Final answer
    x = 146,568.01

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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.