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Finding the Fourth Proportional to 354,719.82, 532,021.40 and 105,343.50

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Solution

The fourth proportional to 354,719.82, 532,021.40 and 105,343.50 is: 157,997.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,719.82 : 532,021.40 = 105,343.50 : x
  2. Step 2: Convert to fraction form
    354,719.82/532,021.40 = 105,343.50/x
  3. Step 3: Cross multiply
    354,719.82x = 532,021.40 × 105,343.50
  4. Step 4: Simplify right side
    354,719.82x = 56,044,996,350.90
  5. Step 5: Solve for x
    x = 56,044,996,350.90/354,719.82
  6. Step 6: Final answer
    x = 157,997.93

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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.