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Finding the Fourth Proportional to 261,564.34, 392,350.17 and 74,575.84

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Solution

The fourth proportional to 261,564.34, 392,350.17 and 74,575.84 is: 111,864.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,564.34 : 392,350.17 = 74,575.84 : x
  2. Step 2: Convert to fraction form
    261,564.34/392,350.17 = 74,575.84/x
  3. Step 3: Cross multiply
    261,564.34x = 392,350.17 × 74,575.84
  4. Step 4: Simplify right side
    261,564.34x = 29,259,843,501.89
  5. Step 5: Solve for x
    x = 29,259,843,501.89/261,564.34
  6. Step 6: Final answer
    x = 111,864.80

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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.