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Finding the Fourth Proportional to 347,278.60, 520,043.10 and 277,294.60

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Solution

The fourth proportional to 347,278.60, 520,043.10 and 277,294.60 is: 415,243.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,278.60 : 520,043.10 = 277,294.60 : x
  2. Step 2: Convert to fraction form
    347,278.60/520,043.10 = 277,294.60/x
  3. Step 3: Cross multiply
    347,278.60x = 520,043.10 × 277,294.60
  4. Step 4: Simplify right side
    347,278.60x = 144,205,143,397.26
  5. Step 5: Solve for x
    x = 144,205,143,397.26/347,278.60
  6. Step 6: Final answer
    x = 415,243.39

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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.