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Finding the Fourth Proportional to 347,708.70, 521,433.45 and 242,214.30

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Solution

The fourth proportional to 347,708.70, 521,433.45 and 242,214.30 is: 363,231.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,708.70 : 521,433.45 = 242,214.30 : x
  2. Step 2: Convert to fraction form
    347,708.70/521,433.45 = 242,214.30/x
  3. Step 3: Cross multiply
    347,708.70x = 521,433.45 × 242,214.30
  4. Step 4: Simplify right side
    347,708.70x = 126,298,638,088.34
  5. Step 5: Solve for x
    x = 126,298,638,088.34/347,708.70
  6. Step 6: Final answer
    x = 363,231.17

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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.