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Finding the Fourth Proportional to 261,586.50, 392,383.44 and 74,598

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Solution

The fourth proportional to 261,586.50, 392,383.44 and 74,598 is: 111,898.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,586.50 : 392,383.44 = 74,598 : x
  2. Step 2: Convert to fraction form
    261,586.50/392,383.44 = 74,598/x
  3. Step 3: Cross multiply
    261,586.50x = 392,383.44 × 74,598
  4. Step 4: Simplify right side
    261,586.50x = 29,271,019,857.12
  5. Step 5: Solve for x
    x = 29,271,019,857.12/261,586.50
  6. Step 6: Final answer
    x = 111,898.05

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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.