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Finding the Fourth Proportional to 347,808.60, 521,712.90 and 277,824.60

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Solution

The fourth proportional to 347,808.60, 521,712.90 and 277,824.60 is: 416,736.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,808.60 : 521,712.90 = 277,824.60 : x
  2. Step 2: Convert to fraction form
    347,808.60/521,712.90 = 277,824.60/x
  3. Step 3: Cross multiply
    347,808.60x = 521,712.90 × 277,824.60
  4. Step 4: Simplify right side
    347,808.60x = 144,944,677,757.34
  5. Step 5: Solve for x
    x = 144,944,677,757.34/347,808.60
  6. Step 6: Final answer
    x = 416,736.90

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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.