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Finding the Fourth Proportional to 392,842, 589,263 and 97,354

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Solution

The fourth proportional to 392,842, 589,263 and 97,354 is: 146,031

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,842 : 589,263 = 97,354 : x
  2. Step 2: Convert to fraction form
    392,842/589,263 = 97,354/x
  3. Step 3: Cross multiply
    392,842x = 589,263 × 97,354
  4. Step 4: Simplify right side
    392,842x = 57,367,110,102
  5. Step 5: Solve for x
    x = 57,367,110,102/392,842
  6. Step 6: Final answer
    x = 146,031

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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.