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Finding the Fourth Proportional to 392,700, 589,050 and 97,212

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Solution

The fourth proportional to 392,700, 589,050 and 97,212 is: 145,818

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,700 : 589,050 = 97,212 : x
  2. Step 2: Convert to fraction form
    392,700/589,050 = 97,212/x
  3. Step 3: Cross multiply
    392,700x = 589,050 × 97,212
  4. Step 4: Simplify right side
    392,700x = 57,262,728,600
  5. Step 5: Solve for x
    x = 57,262,728,600/392,700
  6. Step 6: Final answer
    x = 145,818

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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.